papers and preprints

36. On the numerical index of the real two-dimensional Lp space (with Alicia Quero), preprint
35. On the numerical index of absolute symmetric norms on the plane (with Alicia Quero) Linear Multilinear Algebra 69 (2021), no. 5, 971–979.
34. Numerical index and Daugavet property of operator ideals and tensor products (with Miguel Martín and Alicia Quero) Mediterr. J. Math. 18 (2021), no. 2, Paper No. 72, 15 pp.
33. On the numerical index with respect to an operator (with Vladimir Kadets, Miguel Martín, Antonio Pérez and Alicia Quero) Dissertationes Math. 547 (2020), 1–58.
32. On a second numerical index for Banach spaces (with Sun Kwang Kim, Han Ju Lee, and Miguel Martín)
Proc. Royal Soc. Edinburgh Sect A 150 (2020), no. 2, 1003–1051.
31. Spear operators between Banach spaces - monograph - (with Vladimir Kadets, Miguel Martín, and Antonio Pérez) Lecture Notes in Mathematics, 2205. Springer, Cham, 2018.
30. Numerical radius attaining compact linear opearators (with Ángela Capel and Miguel Martín)
J. Math. Anal. Appl. 445 (2017), 1258-1266.
29.Further properties of the Bishop-Phelps-Bollobás moduli (with Mario Chica, Vladimir Kadets, Miguel Martín)
Mediterranean J. Math. 13 (2016), 3173-3183.
28. Lipschitz slices and the Daugavet equation for Lipschitz operators (with Vladimir Kadets, Miguel Martín, and Dirk Werner),
Proc. Amer. Math. Soc. 143 (2015), no. 12, 5281–5292.
27. Two refinements of the Bishop-Phelps-Bollobás modulus (with Mario Chica, Vladimir Kadets, Miguel Martín, and Mariia Soloviova),
Banach J. Math. Anal.
9 (2015), no. 4, 296–315.
26. Rank 1 numerical index of some families of norms on the plane (with Mario Chica),
Linear Multilinear Algebra 63 (2015), no. 9, 1817–1828.
25. Numerical radius of rank-one operators on Banach spaces (with Mario Chica and Miguel Martín),
Quart. J. Math. 65 (2014), 89-100.
24. Polynomial numerical indices of C(K) and L1(\mu) (with Domingo García, Bogdan Grecu, Manuel Maestre, and Miguel Martín)
Proc. Amer. Math . Soc. 142 (2014), 1229-1235.
23. Lushness, numerical index one and the Daugavet property in rearrangement invariant spaces (with Vladimir Kadets, Miguel Martín and Dirk Werner)
Can. J. Math. 65 (2013), 331-348.
22. On the numerical index of real Lp(\mu)-spaces (with Miguel Martín and Mikhail Popov)
Israel J. Math. 184 (2011), 183-192.
21.Extremely non-complex Banach spaces (with Miguel Martín)
Central European J. Math. 9 (2011), 797-802.
20. Polynomial numerical indices of Banach spaces with absolute norm (with Miguel Martín and Han Ju Lee)
Linear Algebra Appl . 435 (2011), 400-408.
19. On the numerical radius of operators on Lebesgue spaces (with Miguel Martín and Mikhail Popov)
J. Funct. Anal. 261 (2011), 149-168.
18. Numerical index of absolute sums of Banach spaces (with Miguel Martín, Mikhail Popov, and Beata Randrianantoanina)
J. Math. Anal. Appl. 375 (2011), 207–222.
17. Isometries on extremely non-complex Banach spaces (with Piotr Koszmider and Miguel Martín)
J. Inst. Math. Jussieu 10 (2011), 325-348.
16. Slicely Countably Determined Banach spaces (with Antonio Avilés, Vladimir Kadets, Miguel Martín, and Varvara Shepelska)
Trans. Amer. Math. Soc. 362 (2010), 4871-4900.
15. The polynomial Daugavet Property for atomless L1(\mu)-spaces (with Miguel Martin and Mikhail Popov)
Archiv der Mathematik 94 (2010), 383-389.
14. Convexity and smoothness of Banach spaces with numerical index one (with Vladimir Kadets, Miguel Martín, and Rafael Payá)
Illinois J. Math. 53 (2009),163-182.
13. Slicely Countably Determined Banach spaces (with Antonio Avilés, Vladimir Kadets, Miguel Martín, and Varvara Shepelska)
Comptes Rendus Mathematique 347 (2009) 1277–1280.
12. On order structure and operators on L\infty(\mu) (with Irina Krasikova, Miguel Martín, Vladimir Mykhaylyuk,and Mikhail Popov)
Cent. Eur. J. Math. 7(4) (2009), 683-693.
11. Lushness, numerical index one and duality (with Vladimir Kadets, Miguel Martín, and Varvara Shepelska)
J. Math. Anal. Appl. 357 (2009), 15-24.
10. Two-dimensional Banach spaces with polynomial numerical index zero (with Domingo García, Bogdan Grecu, Manuel Maestre, and Miguel Martín)
Linear Algebra Appl. 430 (2009), 2488–2500.
9. A note on the numerical index of the L p space of dimension two (with Miguel Martín)
Linear Multilinear Algebra 57 (2009), 201-204.
8. Properties of lush spaces and applications to Banach spaces with numerical index 1 (with Kostyantyn Boyko, Vladimir Kadets, and Miguel Martín)
Studia Math. 190 (2009), 117-133.
7. Extremely non-complex C(K) spaces (with Piotr Koszmider and Miguel Martín)
J. Math. Anal. Appl. 350 (2009), 601-615.
6. Numerical index of Banach spaces of weakly or weakly-star continuous functions (with Ginés López and Miguel Martín)
Rocky Mountain J. Math. 38 (2008), 213-223.
5. The polynomial numerical index of the real spaces c 0 , l 1 , and l oo (with Sung-Guen Kim and Miguel Martín)
J. Math. Anal. Appl. 337 (2008), 98-106.
4. Norm equalities for operators on Banach spaces (with Vladimir Kadets and Miguel Martín)
Indiana Univ. Math. J.
56 (2007), 2385-2412.
3. Numerical index of some polyhedral norms on the plane (with Miguel Martín)
Linear Multilinear Algebra 55 (2007), 175-190.
2. On the intrinsic and the spatial numerical range (with Miguel Martín 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.
1. Finite-dimensional Banach spaces with numerical index zero (with Miguel Martín and Ángel Rodríguez-Palacios)
Indiana Univ. Math. J. 53 (2004), 1279-1289
A summary of this paper appeared in Extracta Math. 19 (2004), 151-153.