Research of Miguel Martín
Field of interest
My general research interest is in functional analysis, specially in geometry of Banach spaces.
Nowadays, my interests are concentrated on the following general areas:
Education
Ph.D. in Mathematics, Universidad de Granada, Spain. 2000.
B.Sc. in Mathematics, Universidad de Granada, Spain. 1991 - 1996.
Mathematics Genealogy Project page
Reviewer for the Mathematical Reviews and for Zentralblatt Math.
Here you can find the list of my papers and preprints.
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Spear operators between Banach spaces,
Vladimir Kadets, Miguel Martín, Javier Merí, and Antonio Pérez
Lecture Notes in Mathematics, 2205, Springer Verlag, 2018.
Doi: 10.1007/978-3-319-71333-5
ISBN: e-book 978-3-319-71333-5, soft cover 978-3-319-71332-8
arXiv.org version here
The Mathematical Legacy of Victor Lomonosov. Operator Theory
Edited by: Richard M. Aron, Eva A. Gallardo Gutiérrez, Miguel Martin, Dmitry Ryabogin, Ilya M. Spitkovsky
and Artem Zvavitch, Advances in Analysis and Geometry, 2. De Gruyter, Berlin, 2020.ISBN: 978-3-11-065339-7/hbk; 978-3-11-065675-6/ebook
102. A Banach space whose set of norm-attaining functionals is algebraically trivial
Preprint 2024
arxiv.org version here
101. On density and Bishop-Phelps-Bollobas type properties for the minimum norm (with Domingo García, Manuel Maestre, and Óscar Roldan)
Mediterranean J. Math. 21 (2024), 163 (open access)
Digibug (repository of University of Granada) here
arxiv.org version here
100. Slicely countably determined points in Banach spaces (with Johann Langemets, Marcus Loo, and Abraham Rueda Zoca)
J. Math. Anal. Appl. 537 (2024), 128248.
arxiv.org version here
99. Banach spaces with small weakly open subsets of the unit ball and massive sets of Daugavet and Delta-points (with Christian Cobollo, Daniel Isert, Ginés López, Yoël Perreau, Alicia Quero, Andrés Quilis, Daniel Rodríguez-Vidanes, and Abraham Rueda Zoca)
RACSAM 118 (2024), 96 (open access)
Digibug (repository of University of Granada) here
98. Generating operators between Banach spaces (with Vladimir Kadets, Javier Merí, and Alicia Quero)
RACSAM 118 (2024), 90 (open access)
Digibug (repository of University of Granada) here
97. A numerical range approach to Birkhoff-James orthogonality with applications (with Javier Merí, Alicia Quero,
Saikat Roy, and Debmalya Sain)
Banach J. Math. Anal. 18 (2024), 24 (open access).
Digibug (repository of University of Granada) here
96. Diametral notions for elements of the unit ball of a Banach space (with Yoël Perreau and Abraham Rueda Zoca)
Dissertationes Math. 594 (2024), 1-61.
Online first version here
Digibug (repository of University of Granada) here
95. Weak-star quasi norm attaining operators (with Geunsu Choi, Sun Kwang Kim, and Mingu Jung)
J. Math. Anal. Appl. 529 (2024), 126874.arxiv.org version here
94. The Daugavet equation for polynomials on C*-algebras and JB*-triples (with David Cabezas and Antonio Peralta)
Adv. Math. 439 (2024), 109479 (open access).
Digibug (repository of University of Granada) here
93. Residuality in the set of norm attaining operators between Banach spaces (with Mingu Jung and Abraham Rueda Zoca)
J. Funct. Anal. 284 (2023), 109746. (open access)
Digibug (repository of University of Granada) here
92. On the compact operators case of the Bishop--Phelps--Bollobás property for numerical radius (with Domingo García, Manuel Maestre, and Óscar Roldan)
Results Math. 76 (2021), 122
arxiv.org version here
91. Daugavet property in projective symmetric tensor products of Banach spaces (with Abraham Rueda Zoca)
Banach J. Math. Anal. 16 (2022), article id 35. (open access)Digibug (repository of University of Granada) here
90. Numerical index and Daugavet property of operator ideals and tensor products (with Javier Merí and Alicia Quero)
Mediterranean J. Math. 18 (2021), 72.arXiv.org version here
89. On quasi norm attaining operators between Banach spaces (with Geunsu Choi, Yun Sung Choi, and Mingu Jung)
RACSAM 116 (2022), 133. (open access)
Digibug (repository of University of Granada) here
88. Some stability properties for the Bishop-Phelps-Bollobás property for Lipschitz maps (with Rafael Chiclana)
Studia Math. 264 (2022), 121-147.
arXiv.org version here
87. Examples and applications of the density of strongly norm attaining Lipschitz maps (with Rafael Chiclana, Luis Carlos García-Lirola, and Abraham Rueda Zoca)
Rev. Mat. Iberoam. 37 (2021), no. 5, 1917–1951.
arXiv.org version here
86. Emerging notions of norm attainment for Lipschitz maps between Banach spaces (with Geunsu Choi and Yun Sung Choi)
J. Math. Anal. Appl. 483 (2020), 123600
85. Banach spaces whose group of isometries acts micro-transitively on the unit sphere (with Felix Cabello, Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim, and Han Ju Lee)
J. Math. Anal. Appl. 488 (2020), 124046.
84. On the numerical index with respect to an operator (with Vladimir Kadets, Javier Merí, Antonio Pérez, and Alicia Quero)
Dissertationes Mathematicae 547 (2020), 1-58.Online first version here
Digibug (repository of University of Granada) here
83. Norm attaining operators of finite rank (with Vladimir Kadets, Ginés López, and Dirk Werner)
In: The Mathematical Legacy of Victor Lomonosov, pp. 157-183. Edited by: Richard M. Aron, Eva A. Gallardo Gutiérrez, Miguel Martin, Dmitry Ryabogin, Ilya M. Spitkovsky and Artem Zvavitch, Advances in Analysis and Geometry, 2. De Gruyter, Berlin, 2020.arXiv.org version here
82. Strong diameter two property and convex combinations of slices reaching the unit sphere (with Ginés López and Abraham Rueda-Zoca)
Mediterranean J. Math. (2019) 16: 122.
81. The Bishop-Phelps-Bollobás property for Lipschitz maps (with Rafael Chiclana)
Nonlinear Analysis 188 (2019), 158-178.
80. On strongly norm-attaining Lipschitz operators (with Bernardo Cascales, Rafael Chiclana, Luis Carlos García-Lirola, and Abraham Rueda Zoca)
J. Funct. Anal. 277 (2019), 1677-1717.
79. There is no operatorwise version of the Bishop-Phelps-Bollobas property (with Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim, and Han Ju Lee)
Linear Mult. Algebra 68 (2020), 1767-1778.
arXiv.org version here
78. The Bishop-Phelps-Bollobas property and absolute sums (with Sheldon Dantas, Yun Sung Choi, and Mingu Jung)
Mediterranean J. Math. (2019) 16: 73.
77. On proximinality of subspaces of finite codimension of Banach spaces and the lineability of the set of norm-attaining functionals
J. Funct. Anal. 278 (2020), 108353.
76. Equivalent norms with an extremely nonlineable set of norm attaining functionals (with Vladimir Kadets, Gines Lopez, and Dirk Werner)
J. Inst. Math. Jussieu 19 (2020), 259-279.
75. On the pointwise Bishop-Phelps-Bollobas property for operators (with Sheldon Dantas, Vladimir Kadets, Sun Kwang Kim, and Han Ju Lee)
Canadian J. Math. 71 (2019), 1421-1443.
74. Some geometric properties of Read's space (with Vladimir Kadets, and Ginés López)
J. Funct. Anal. 274 (2018), 889-899.
73. On a second numerical index for Banach spaces (with Sun Kwang Kim, Han Ju Lee, and Javier Merí)
Proc. Royal Soc. Edinburgh Sect A 150 (2020), 1003-1051.
72. The Bishop-Phelps-Bollobás property for compact operators (with Sheldon Dantas, Domingo García, and Manuel Maestre)
Canadian J. Math. 70 (2018), 53-73.
71. Numerical radius attaining compact linear opearators (with Ángela Capel and Javier Merí)
J. Math. Anal. Appl. 445 (2017), 1258-1266.
70. Further properties of the Bishop-Phelps-Bollobás moduli (with Mario Chica, Vladimir Kadets, and Javier Merí)
Mediterranean J. Math. 13 (2016), 3173-3183.
69. Norm attaining Lipschitz functionals (with Vladimir Kadets, and Mariia Soloviova)
Banach J. Math. Anal. 10 (2016), 621-637.
68. On the Bishop-Phelps-Bollobás theorem for operators and numerical radius (with Sun Kwang Kim, and Han Ju Lee)
Studia Math. 233 (2016), 141-151.
67. Bishop-Phelps-Bollobás property for bilinear forms on spaces of continuous functions (with Sun Kwang Kim, and Han Ju Lee)
Math. Z. 283 (2016), 157-167.
66. The version for compact operators of Lindenstrauss properties A and B
RACSAM 110 (2016), 269-284.
65. On different definitions of numerical range
J. Math. Anal. Appl. 433 (2016), 877-866.
64. Lipschitz slices and the Daugavet equation for Lipschitz operators (with Vladimir Kadets, Javier Meri and Dirk Werner)
Proc. Amer. Math. Soc. 143 (2015), 5281-5292.
63. Two refinements of the Bishop-Phelps-Bollobás modulus (with Mario Chica, Vladimir Kadets, Javier Merí, and Mariaa Soloviova)
Banach J. Math. Anal. 9 (2015), no. 4, 296-315.
62. The Bishop-Phelps-Bollobás theorem for operators from ell_1-sum of Banach spaces (with Sun Kwang Kim, and Han Ju Lee)
61. On Banach spaces with the Approximate Hyperplane Series Property (with Yun Sung Choi, Sun Kwang Kim, and Han Ju Lee)
Banach J. Math. Anal. 9 (2015), no. 4, 243-258.
60. The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B (with Richard Aron, Yun Sung Choi, Sun Kwang Kim, and Han Ju Lee)
Trans. Amer. Math. Soc. 367 (2015), 6085--6101.
59. Norm-attaining compact operators
J. Funct. Anal. 267 (2014), 1585–1592.
58. The Bishop-Phelps-Bollobás theorem for operators on L_1(\mu) (with Yun Sung Choi, Sun Kwang Kim, and Han Ju Lee)
J. Funct. Anal. 267 (2014), 214-242.
57. The Bishop-Phelps-Bollobas property for numerical radius (with Sun Kwang Kim, and Han Ju Lee)
Abstract Appl. Analysis, Volume 2014, Article ID 479208, 15 pages
56. On the geometry of von Neumann algebra preduals (with Yoshimichi Ueda)
Positivity 18 (2014), 519–530
55. Numerical radius of rank-one operators on Banach spaces (with Mario Chica and Javier Merí),
Q. J. Math. 65 (2014), 89-100.
54. Polynomial numerical indices of C(K) and L_1(\mu) (with Domingo García, Bogdan Grecu, Manuel Maestre, and Javier Merí),
Proc. Amer. Math. Soc. 142 (2014), 1229-1235.
53. The Bishop-Phelps-Bollobás moduli of a Banach space (with Mario Chica, Vladimir Kadets, Soledad Moreno-Pulido and Fernando Rambla-Barreno)
J. Math. Anal. Appl. 412 (2014), 697–719.
52. The Bishop-Phelps-Bollobás property for operators between spaces of continuous functions (with Maria Acosta, Julio Becerra, Yun Sung Choi, Maciej Ciesielski, Sun Kwang Kim, Han Ju Lee, and Mary Lilian Lourenço)
Nonlinear Anal. 95 (2014), 323-332.
51. Lushness, numerical index one and the Daugavet property in rearrangement invariant spaces (with Vladimir Kadets, Javier Merí and Dirk Werner),
Canadian J. Math. 65 (2013), 331-348.
50. Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces (with Vladimir Kadets),
J. Math. Anal. Appl. 396 (2012), pp. 441-447.
49. Polynomial numerical indices of Banach spaces with 1-unconditional bases (with Han Ju Lee)
Linear Algebra Appl. 437 (2012), 2001-2008.
48. On the numerical index of real Lp(\mu)-spaces (with Javier Merí and Mikhail Popov)
Israel J. Math. 184 (2011), 183-192.
47. Extremely non-complex Banach spaces (with Javier Merí)
Central European J. Math. 9 (2011), 797 - 802.
46. On the numerical radius of operators on Lebesgue spaces (with Javier Merí and Mikhail Popov)
J. Funct. Anal. 261 (2011), 149-168.
45. Isometries on extremely non-complex Banach spaces (with Piotr Koszmider and Javier Merí)
J. Inst. Math. Jussieu 10 (2011), 325-348.
44. Polynomial numerical indices of Banach spaces with absolute norm (with Han Ju Lee and Javier Merí)
Linear Algebra Appl. 435 (2011), 400 - 408.
43. Numerical index of absolute sums of Banach spaces (with Javier Merí, Mikhail Popov, and Beata Randrianantoanina)
J. Math. Anal. Appl. 375 (2011), 207–222.
42. Slicely Countably Determined Banach spaces (with Antonio Avilés, Vladimir Kadets, Javier Merí, and Varvara Shepelska)
Trans. Amer. Math. Soc. 362 (2010), 4871 - 4900.
41. The polynomial Daugavet property for atomless L1(\mu)-spaces (with Javier Merí and Mikhail Popov)
Archiv der Mathematik 94 (2010), 383–389.
40. On remotality for convex sets in Banach spaces (with T. S. S. R. K. Rao)
J. Approx. Theory 162 (2010), 392-396.
39. Convexity and smoothness of Banach spaces with numerical index one (with Vladimir Kadets, Javier Merí, and Rafael Payá)
Illinois J. Math. 53 (2009), 163-182.
38. On order structure and operators in L\infty (with Irina Krasikova, Vladimir Mykhaylyuk, Javier Merí and Mikhail Popov)
Central European J. Math. 7 (2009), 683-693
37. Slicely Countably Determined Banach spaces -short note- (with Antonio Avilés, Vladimir Kadets, Javier Merí, and Varvara Shepelska)
Comptes Rendus Mathematique 347 (2009) 1277–1280
36. Lineability, spaceability, and algebrability of certain subsets of function spaces (with Francisco García-Pacheco and Juan Seoane)
Taiwanese J. Math. 13 (2009), 1257-1269.
35. Positive and negative results on the numerical index of Banach spaces and duality
Proc. Amer. Math. Soc. 137 (2009), 3067-3075.
34. Lushness, numerical index one and duality (with Vladimir Kadets, Javier Merí, and Varvara Shepelska)
J. Math. Anal. Appl. 357 (2009), 15-24.
33. Two-dimensional Banach spaces with polynomial numerical index zero (with Domingo García, Bogdan Grecu, Manuel Maestre, and Javier Merí)
Linear Algebra Appl. 430 (2009), 2488–2500
32. A note on the numerical index of the Lp space of dimension two (with Javier Merí)
Linear Multilinear Algebra 57 (2009), 201-204.
31. Properties of lush spaces and applications to Banach spaces with numerical index 1 (with Kostyantyn Boyko, Vladimir Kadets, and Javier Merí)
Studia Math. 190 (2009), 117-133.
30. Extremely non-complex C(K) spaces (with Piotr Koszmider and Javier Merí)
J. Math. Anal. Appl. 350 (2009), 601-615.
29. The polynomial numerical index for some complex vector-valued function spaces (with Yun Sung Choi, Domingo García, and Manuel Maestre)
Quart. J. Math. 59 (2008), 455-474.
28. The group of isometries of a Banach space and duality
J. Funct. Anal. 255 (2008), 2966-2976.
27. Convexity around the unit of a Banach algebra (with Vladimir Kadets, Olga Katkova, and Anna Vishnyakova)
Serdica Math. J. 34 (2008), 619-628.
26. Numerical index of Banach spaces of weakly or weakly-star continuous functions (with Ginés López and Javier Merí)
Rocky Mountain J. Math. 38 (2008), 213-223.
25. The alternative Daugavet property of C*-algebras and JB*-triples
Math. Nachr. 281 (2008), 376-385.
24. The polynomial numerical index of the real spaces c0, l1, and loo (with Sung-Guen Kim and Javier Merí)
J. Math. Anal. Appl. 337 (2008), 98-106.
23. Norm equalities for operators on Banach spaces (with Vladimir Kadets and Javier Merí)
Indiana Univ. Math. J. 56 (2007), 2385–2412.
22. Numerical index of Banach spaces and duality (with Kostyantyn Boyko, Vladimir Kadets, and Dirk Werner)
Math. Proc. Cambridge Philos. Soc. 142 (2007), 93-102.
21. The Daugavet equation for polynomials (with Yun Sung Choi, Domingo García, and Manuel Maestre)
Studia Math. 178 (2007), 63-84.20. Numerical index of some polyhedral norms on the plane (with Javier Merí)
Linear Multilinear Algebra 55 (2007), 175-190.
19. Recent progress and open questions on the numerical index of Banach spaces (with Vladimir Kadets and Rafael Payá)
RACSAM (Rev. R. Acad. Cien. Serie A. Mat.) 100 (2006), 155–182.
18. The Daugavet property for Lindenstrauss spaces (with Julio Becerra)
in: Methods in Banach space theory (Jesus M.F. Castillo and William B. Johnson Editors), pp. 91-96,
London Mathematical Society Lecture Note Series 337, 2006.
17. On the intrinsic and the spatial numerical range (with Javier Merí and Rafael Payá)
J. Math. Anal. Appl. 318 (2006), 175-189.
An Erratum to this paper (minor changes) appears also at J. Math. Anal. Appl.
16. The Daugavet property of C*-algebras, JB*-triples, and of their isometric preduals (with Julio Becerra)
J. Funct. Anal. 224 (2005), 316 - 337
15. Finite-dimensional Banach spaces with numerical index zero (with Javier Merí and Ángel Rodríguez-Palacios)
Indiana Univ. Math. J. 53 (2004), 1279 - 1289
14. Finite-dimensional Banach spaces with numerical index zero (with Javier Merí and Ángel Rodríguez-Palacios)
Extracta Math. 19 (2004), 151 - 153
13. An alternative Daugavet Property (with Timur Oikhberg)
J. Math. Anal. Appl. 294 (2004), 158 - 180
12. On CL-spaces and almost-CL-spaces (with Rafael Payá)
Arkiv Mat. 42 (2004), 107 - 118
11. The daugavetian index of a Banach space
Taiwanisse J. Math. 7 (2003), 631 - 640
10. Numerical index and Daugavet property for $L_\infty(\mu,X)$ (with Armando R. Villena)
Proc. Edinburgh Math. Soc. 46 (2003), 415 - 420
9. Banach spaces having the RNP and numerical index 1
Proc. Amer. Math. Soc. 131 (2003), 3407 - 3410
8. Structure of nested sequences of balls in Banach spaces (with P. Bandyopadhyay, V. P. Fonf and B.-L. Lin)
Houston J. Math. 29 (2003), 173 - 193.
7. Numerical index and renorming (with Catherine Finet and Rafael Payá)
Proc. Amer. Math. Soc. 131 (2003), 871 - 877
6. Some recent results on the numerical index of a Banach space
Publicaciones Matemáticas de la Universidad Complutense de Madrid (Colloquium), 49, pp. 49 - 54, 2002
5. The alternative Dunford-Pettis property in the predual of a von Neumann algebra (with Antonio M. Peralta)
Studia Math. 147 (2001), 197 - 200
4. Indice numerico y subespacios (spanish)
Actas del ‘Encuentro de Matematicos andaluces’, (Sevilla, November 13-17, 2000), vol. 2, pp. 641 - 648, 2001
3. Numerical index of vector-valued function spaces (with Rafael Payá)
Studia Math. 142 (2000), 269 - 280
2. A survey on the numerical index of a Banach space
Extracta Math. 15 (2000), 265 - 276
1. Real Banach spaces with numerical index 1 (with Ginés López and Rafael Payá)
Bull. London Math. Soc. 31 (1999), 207 - 212
Here you can find a list of my talks, some of them with the slides.
"Strongly norm-attaining Lipschitz maps", Seminario Albereto Dou, Universidad Complutense de Madrid, Madrid (Spain), 2024.
"Norm attaining linear operators: an overview of old and new results and tentative future reserach", Methods in Banach spaces, Universidad de Extremaduram Spain, 2024.
- Slides
- Notes
- Webpage
- Videos: First sesion - Second sesion
"Generating operators between Banach spaces", Colloquium of the Deparment of Mathematical Analysis and Applied Mathematics, Universidad Complutense de Madrid, Spain, 2024.
- Slides
"Generating operators between Banach spaces", 19th ILJU School of Mathematics - Banach spaces and related topics, POSTECH, Pohang, South Korea, 2024.
- Slides
"When the typical operator is norm attaining?", 18th ILJU School of Mathematics - Banach spaces and related topics, KIAS, Seoul, South Korea, 2023.
It was a mini-course in three sessions, the first one with slides (download here), the rest using blackboard.
"When the typical operator is norm attaining?", Séminaire d’Analyse Fonctionnelle, Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, France, 2022.
- Slides
"Residuality in the set of norm attaining operators between Banach spaces", The International Online Conference "Current Trends in Abstract and Applied Analysis", Ivano-Frankivsk, Ukraine, 2022.
- Slides
"Slicely countably determined sets, spaces, and operators", Functional Analysis Seminar (online talk), Institute of Mathematics and Statistics, University of Tartu, Estonia, 2021.
- Slides
- Webpage
- Video
"Numerical Index Theory", Advanced Functional Analysis and its Applications 2020, Online conference, NISER Bhubaneswar and IIT Hyderabad, India, 2020.
- Slides
- Webpage"On quasi norm attaining operators between Banach spaces", Banach spaces Webinars (Online talk), 2020
- Slides
- Webpage
- Youtube video of the webinar"Strongly norm-attaining Lipschitz maps", Seminar at the Department of Mathematics, POSTECH, Korea, 2019.
"Vector space structure in the set of norm attaining functionals and proximinality of subspaces of finite-codimension", Colloquium del Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid, Madrid (Spain), 2019.
"Strongly norm-attaining Lipschitz maps", Mini-conference on Banach spaces Granada 2019, IeMath-GR, Universidad de Granada, Granada (Spain), 2019.
"Vector space structure in the set of norm attaining functionals and proximinality of subspaces of finite-codimension", Banach Spaces and their Applications, International conference dedicated to the 70th anniversary of Professor Plichko, Lviv, Ukraine, 2019.
"Strongly norm-attaining Lipschitz maps", Seminario de Análisis Matemático, Universidad de Valencia, Valencia (Spain), 2019.
"Strongly norm-attaining Lipschitz maps", XVI Encuentros Análisis Funcional Murcia--Valencia, Murcia (Spain), 2018.
"Spear operators and the numerical index with respect to an operator", Workshop on Functional Analysis and Operator Theory, Valencia (Spain), 2018.
"The second numerical index of a Banach space", Seminario del Departamento de Análisis Matemático de la Universidad de Valencia, Valencia (Spain), 2018.
"Vector space structure in the set of norm attaining functionals", Workshop on infinite dimensional Analysis 2018, Valencia (Spain), 2018.
"Spear operators between Banach spaces", 13th ILJU-NIMS School of Mathematics - Banach spaces and related topics, NIMS, Daejeon, South Korea, 2018.
It was a mini-course of three sessions, the first one with slides (download here), the rest using blackboard.
"Vector space structure in the set of norm attaining functionals", One day workshop on Fucntional Analysis, Murcia (Spain), 2017.
"The Bishop-Phelps-Bollobás point property", Seminario del Departamento de Análisis Matemático de la Universidad de Valencia, Valencia (Spain), 2017.
"Norm attaining compact operators", Colloquium del Departamento de Análisis Matemático de la Universidad Complutense de Madrid, Madrid (Spain), 2017.
"Norm attaining compact operators", Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Sevilla (Spain), 2017.
"Norm attaining compact operators", 11th ILJU School of Mathematics - Banach spaces and related topics, Pohang Mathematics Institute (POSTECH, South Korea), Gyeongju, South Korea, 2016.
“The group of isometries of a Banach space and duality”, Seoul National University, Seoul (Korea), November 2015.
“The Bishop-Phelps-Bollobás moduli of a Banach space”, XIV Encuentro de Análisis Funcional Murcia-Valencia, Valencia (Spain), September 2015.
“Norm-attaining compact operators”, Banach Spaces Seminar, Texas A&M University, College Station, TX, USA. February 2015.
“Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B ”, XIII Encuentro de Análisis Funcional Murcia-Valencia, Valencia (Spain), December 2014.
“Una versión para operadores compactos de las propiedades A y B de Lindenstrauss", Country Mathematical Meeting 2014, Lanjarón (Granada, Spain), October 2014.
“Operadores compactos que alcanzan la norma”, Seminario de Análisis Matemático, Universidad de Valencia, Valencia (Spain), July 2014.
“Operadores compactos que alcanzan la norma”, Seminario del Departamento de Análisis Matemático, Universidad de Granada, Granada (Spain), July 2013.
“Slicely Countably Determined Banach spaces”, POSTECH, Pohang (Korea), November 2012.
“Slicely Countably Determined Banach spaces”, Seoul National University, Seoul (Korea), November 2012.
“Isometries of Banach spaces and duality”, Dongguk University, Seoul (Korea), November 2012.
“Daugavet-like properties and numerical indices in some function spaces”, Workshop Operators and Banach lattices, Universidad Complutense de Madrid, Madrid (Spain), October 2012.
“The Bishop-Phelps-Bollobás modulus of a Banach space”, International Conference dedicated to 120-th anniversary of Stefan Banach, Ivan Franko National University of Lviv, Lviv (Ukraine), September 2012.
“Numerical indices and Daugavet-like properties in some function spaces”, Miami University, Oxford (OH, USA), June 2012.
“Numerical indices and Daugavet-like properties in some function spaces”, Seminario del Departamento de Análisis Matemático, Universidad de Valencia, Valencia (Spain), June 2012.
“Numerical indices and Daugavet-like properties in some function spaces”, 1st BMS - RSME - SML Conference, Liège (Belgium), June 2012.
“Slicely Countably Determined Banach spaces”, Seminario del Departamento de Análisis Matemático, Universidad de Valencia, Valencia (Spain), May 2012.
“Duality and the group of isometries of a Banach space”, International Conference on Mathematics and Statistics (ICOMAS 2012),
University of Memphis, Memphis, TN (USA), May 2012.
Mini-course on “Numerical index theory”, Kent State University, Kent, OH (USA), April 2012. Course notes are available here.
“Slicely Countably Determined Banach spaces”, Informal Analysis Seminar, Kent State University, Kent, OH (USA), March 2012.
“Isometrías de un espacio de Banach y dualidad” (Spanish), Seminario de Análisis y Aplicaciones, UAM-ICMAT, Madrid (Spain), November 2011.
“Un ejemplo de comportamiento extremo del grupo de las Isometrías de un espacio de Banach respecto a la dualidad” (Spanish), Seminario del Departamento de Análisis Matemático,
Universidad de Valencia, Valencia (Spain), September 2011.
“Isometries of Banach spaces and duality”, 26th Summer Conference on General Topology and its Applications, City College of New York (CUNY). New York (USA), July 2011.
“On the numerical radius of operators on Lebesgue spaces”, Pohang Mathematics Institute, POSTECH, Pohang (Korea), March 2011.
“On the numerical radius of operators on Lebesgue spaces”, i-Math Consolider Trimester on Functional Analysis, Complex Analysis and Operator Theory, Universidad Politécnica de Valencia,
Valencia (Spain), February 2011.
“Slicely Countably Determined Banach spaces”, Seminario Rey Pastor, Universidad de Murcia,
Murcia (Spain), December 2010.
“Numerical ranges and numerical indices”, a series of 3 lectures at the 1st ILJU School of Mathematics - Functional Analyisis -,
Pohang Mathematics Institute, Yong Pyong resort, Pyeongchang (Korea), August 2009.
“Slicely Countably Determined Banach spaces”, I Encuentro SMM - RSME, Oaxaca (Mexico), July 2009.
“The Daugavet property ”, Indian Statistical Institute, Kolkata centre, Kolkata (India), June 2009.
“Numerical index theory”, a series of 8 lectures at the Workshop on Geometry of Banach spaces and its Applications,
Indian Statistical Institute Bangalore center, Bangalore (India), June 2009.
* The full version of the talk (with all proofs) is here. Course notes are available here
“Slicely Countably Determined Banach spaces”, Colloquium del Departamento de Análisis Matemático,
Universidad Complutense de Madrid, Madrid (Spain), May 2009.
“The numerical index of Banach spaces”, Seminario Rubio de Francia, Universidad de Zaragoza,
Zaragoza (Spain), April 2009.
“Isometries on extremely non-complex Banach spaces”, a series of 3 lectures at the 37 Winter School in Abstract Analysis,
Kacov (Czech Republic), January 2009.
“Isometrías de un espacio de Banach y dualidad” (Spanish), Seminario del Departamento de Análisis Matemático,
Universidad de Granada, Granada (Spain), January 2009.
“Slicely Countably Determined Banach spaces”, Workshop in Analysis and Probability,
Texas A&M University, College Station, TX (USA), August 2008.
“Extremely non-complex C(K) spaces ”, Second International Conference in Set Theory, Topology and Banach Spaces,
Kielce (Poland), July 2008.
“The numerical index of a Banach space”, IV Encuentro de Análisis Funcional Murcia-Valencia ,
Alcoy, Alicante (Spain), May 2008.
“Isometrías de un espacio de Banach y dualidad”, Seminario de Análisis Funcional, Departamento de Matemáticas,
Universidad de Murcia, Murcia (Spain), February 2008.
“Igualdades de normas para operadores y rango numérico. Prehistoria, historia y resultados recientes” (Spanish-English), Curso Avanzado del Departamento de Análisis Matemático de la Universidad de Valencia,
Valencia (Spain), December 2007.
“On a C(K) space with few operators”, 22nd summer conference on Topology and its Applications,
Castellón (Spain), July 2007.
“The groups of isometries of a Banach space and duality”, First French-Spanish Congress of Mathematics,
Zaragoza (Spain), July 2007.
“The Daugavet property for polynomials ”, Banach space theory: classical topics and new directions,
Cáceres (Spain), September 2006.
“Numerical index of Banach spaces and duality”, ICM2006, Madrid (Spain), August 2006.
“Norm equalities for operators”, Poster presented by Javier Merí,
awarded with the 1st prize of the Poster competition at the ICM2006 (section 9),Madrid (Spain), August 2006.
“The Daugavet property ”, Seminario de Análisis Matemático,
Universidad de Sevilla (Spain), June 2006.
“Norm equalities for operators”, III Workshop on Functional Analysis,
La Manga del Mar Menor, Murcia (Spain), March 2006.
“Norm equalities for operators in the spirit of Daugavet equation ”, Faot2005,
Mondello, Palermo (Italy), September 2005.
“Numerical index of Banach spaces and duality”, IVth International Workshop on Functional Analysis
on the occasion of the 65th birthday of Jean Schmets, Liege (Belgium), September 2005.
“The alternative Daugavet property”, Fachbereich Mathematik und Informatik,
Freie Universität Berlin (Germany), May 2005.
“The Daugavet property for C*-algebras and von Neumann preduals”, Séminaire d'Initiation à l'Analyse,
Equipe d'Analyse Fonctionnelle, Université Pierre et Marie Curie - Paris 6 (France), May 2005.
“La propiedad de Daugavet” (Spanish), Departamento de Análisis Matemático,
Universidad Complutense de Madrid (Spain), March 2005.
“The Daugavet property”, Colloquium of the Math. Department,
Kent State University, Kent, OH (USA), February 2005.
“The Daugavet property in C*-algebras and von Neumann preduals”, V Conference on Banach spaces,
Caceres (Spain), September 2004
“Geometric characterizations of the Daugavet property in C*-algebras and von Neumann preduals”,
Functional Analysis Workshop, Joensuu (Finland), June 2004
“Índice numérico de los espacios de Banach” (spanish), Seminario del Departamento de Análisis Matemático,
Universitat de Valencia (Spain), May 2004
“La propiedad de Daugavet” (spanish), Seminario del Departamento de Análisis Matemático,
Universitat de Valencia (Spain), September 2003
“Finite-dimensional Banach spaces with numerical index zero”, SUMIRFAS,
Texas A&M University, College Station, TX (USA), July 2003
“CL-spaces and almost-CL-spaces”, The Wladylaw Orlicz Conference and Function Spaces VII,
Poznan (Poland), July 2003
“Existence of hermitian operators on finite-dimensional Banach spaces: geometrical consecuences”,
First Join Meeting RSME-AMS, Sevilla (Spain), June 2003
“The numerical index of a Banach space”, Seminar of the Department of Mathematics,
University of California, Irvine (USA), November 2001
“An alternative Daugavet Property”, 2001 Fall Western Section Meeting (meeting #972),
American Mathematical Society, Irvine, California (USA), November 2001
“La propiedad de Daugavet” (spanish), Seminario del Departamento de Matemáticas,
Universidad Autonoma de Madrid (Spain), September 2001
“Algunas cuestiones sobre Indice numerico” (spanish), Colloquium del Departamento de Análisis Matemático,
Universidad Complutense de Madrid (Spain), September 2001
“Indice numerico y subespacios” (spanish), Encuentro de Matemáticos Andaluces,
Universidad de Sevilla (Spain), November 2000
“Renorming and numerical index of Banach spaces”, Summer school ‘Functional Analysis’,
Universite de Franche-Comte, Besançon (France), June 2000“The numerical index of Banach spaces”, Seminar of the Department of Mathematics and Computer Sciences,
University of Iowa (USA), March and April, 2000
“What’s the matter if a Banach space has numerical index 1?”, Seminar of the Department of Mathematics,
University College Dublin (Ireland), August 1999
“Espacios de Banach reales con indice numerico uno” (spanish), III Congress on Banach spaces,
Universidad de Extremadura (Spain), November 1998
“Espacios de Banach con indice numerico uno” (spanish), Espacios de Banach,
Cursos de verano de Laredo, Universidad de Cantabria (Spain), August 1997
