1 |
A. Aviles, V. Kadets, M. Martin, J. Meri, and V. Shepelska, Slicely countably determined Banach spaces, Trans. Amer. Math. Soc. 362 (2010), no. 9, 4871-4900.
DOI
|
2 |
F. F. Bonsall and J. Duncan, Numerical Ranges ii, London Math. Soc. Lecture Note Series 10, Cambridge 1973.
|
3 |
K. Boyko, V. Kadets, M. Martin, and J. Meri, Properties of lush spaces and applications to Banach spaces with numerical index 1, Studia Math. 190 (2009), no. 2, 117-133.
DOI
|
4 |
K. Boyko, V. Kadets, M. Martin, and D. Werner, Numerical index of Banach spaces and duality, Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 1, 93-102.
DOI
|
5 |
Y. S. Choi, D. Garcia, S. G. Kim, and M. Maestre, The polynomial numerical index of a Banach space, Proc. Edinb. Math. Soc. 49 (2006), no. 1, 39-52.
|
6 |
Y. S. Choi, D. Garcia, M. Maestre, and M. Martin, Polynomial numerical index for some complex vector-valued function spaces, Q. J. Math. 59 (2008), no. 4, 455-474.
DOI
|
7 |
E. Ed-dari and M. Khamsi, The numerical index of the space, Proc. Amer. Math. Soc. 134 (2006), no. 7, 2019-2025.
DOI
|
8 |
C. Finet, M. Martin, and R. Paya, Numerical index and renorming, Proc. Amer. Math. Soc. 131 (2003), no. 3, 871-877.
DOI
|
9 |
D. Garcia, B. Grecu, M. Maestre, M. Martin, and J. Meri, Two-dimensional Banach spaces with polynomial numerical index zero, Linear Algebra Appl. 430 (2009), no. 8-9, 2488-2500.
DOI
|
10 |
N. Ghoussoub, G. Godefroy, B. Maurey, and W. Schachermayer, Some topological and geometrical structures in Banach spaces, Mem. Amer. Math. Soc. 70 (1987), no. 378, iv+116 pp.
|
11 |
L. Harris, The numerical range of holomorphic functions in Banach spaces, Amer. J. Math. 93 (1971), 1005-1019.
DOI
|
12 |
V. Kadets, M. Martin, and R. Paya Recent progress and open questions on the numerical index of Banach spaces, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. 100 (2006), no. 1-2, 155-182.
|
13 |
J. Kim and H. J. Lee, Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices, J. Funct. Anal. 257 (2009), no. 4, 931-947.
DOI
|
14 |
S. G. Kim, M. Martin, and J. Meri, On the polynomial numerical index of the real spaces , J. Math. Anal. Appl. 337 (2008), no. 1, 98-106.
DOI
|
15 |
H. J. Lee, Banach spaces with polynomial numerical index 1, Bull. London Math. Soc. 40 (2008), no. 2, 193-198.
DOI
|
16 |
H. J. Lee and M. Martin, Polynomial numerical indices of Banach spaces with 1-unconditional basis, preprint.
|
17 |
H. J. Lee, M. Martin, and J. Meri, Polynomial numerical indices of Banach spaces with absolute norm, Linear Algebra Appl. 435 (2011), no. 2, 400-408.
DOI
|
18 |
A. Lima, intersection properties of balls and subspaces in Banach spaces, Trans. Amer. Math. Soc. 227 (1977), 1-62.
DOI
|
19 |
G. Lopez, M. Martin, and R. Paya, Real Banach spaces with numerical index 1, Bull. London Math. Soc. 31 (1999), no. 2, 207-212.
DOI
|
20 |
A. Lima, intersection properties of balls in spaces of compact operators, Ann. inst. Fourier Grenoble 28 (1978), 35-65.
DOI
|
21 |
M. Martin, J. Meri, M. Popov, and B. Randrianantoanina, Numerical index of absolute sums of Banach spaces, J. Math. Anal. Appl. 375 (2011), no. 1, 207-222.
DOI
|