Recent progress and open questions on the numerical index of Banach spaces
arXiv:math/0605781v1 [math.FA] 31 May 2006 Page 1 arXiv:math/0605781v1 [math.FA] 31
May 2006 Ъ ЦЬ ШЪЧ Ъ ЫЫ Ц ЧШ Ц ЩЭ ЫЬСЧЦЫ ЧЦ ЬР ЦЭХ ЪС Ф СЦ Ч Ц Р ЫШ Ы ЮФ …
May 2006 Ъ ЦЬ ШЪЧ Ъ ЫЫ Ц ЧШ Ц ЩЭ ЫЬСЧЦЫ ЧЦ ЬР ЦЭХ ЪС Ф СЦ Ч Ц Р ЫШ Ы ЮФ …
Numerical index of Banach spaces and duality
We present an example of a Banach space whose numerical index is strictly greater than the
numerical index of its dual, giving a negative answer to a question which has been latent …
numerical index of its dual, giving a negative answer to a question which has been latent …
[图书][B] Spear operators between Banach spaces
Let X and Y be Banach spaces. The main goal of this monograph is to study bounded linear
operators GW X! Y satisfying that for every other bounded linear operator TW X! Y there is a …
operators GW X! Y satisfying that for every other bounded linear operator TW X! Y there is a …
An alternative Daugavet property
M Martı́n, T Oikhberg - Journal of mathematical analysis and applications, 2004 - Elsevier
We introduce a strictly weaker version of the Daugavet property as follows: a Banach space
X has this alternative Daugavet property (ADP in short) if the norm identity [Formula: see text] …
X has this alternative Daugavet property (ADP in short) if the norm identity [Formula: see text] …
On CL-spaces and almost CL-spaces
M Martín, R Payá - Arkiv för Matematik, 2004 - Springer
We find some necessary conditions for a real Banach space to be an almost CL-space. We
also discuss the stability of CL-spaces and almost CL-spaces by c 0-and l 1-sums. Finally …
also discuss the stability of CL-spaces and almost CL-spaces by c 0-and l 1-sums. Finally …
Numerical index and the Daugavet property for
M Martín, AR Villena - Proceedings of the Edinburgh Mathematical …, 2003 - cambridge.org
NUMERICAL INDEX AND THE DAUGAVET PROPERTY FOR $L_\infty(\mu,X)$ Page 1
Proceedings of the Edinburgh Mathematical Society (2003) 46, 415–420 c DOI:10.1017/S0013091502000524 …
Proceedings of the Edinburgh Mathematical Society (2003) 46, 415–420 c DOI:10.1017/S0013091502000524 …
Numerical index and renorming
C Finet, M Martín, R Payá - Proceedings of the American Mathematical …, 2003 - ams.org
We study the numerical index of a Banach space from the isomorphic point of view, that is,
we investigate the values of the numerical index which can be obtained by renorming the …
we investigate the values of the numerical index which can be obtained by renorming the …
On the numerical index of Banach spaces
E Ed-dari - Linear algebra and its applications, 2005 - Elsevier
We give a partial answer to the problem of computing the numerical index of lp-space 1<
p<∞. Also, we give an estimate of the numerical index of the two-dimensional real space …
p<∞. Also, we give an estimate of the numerical index of the two-dimensional real space …
The Numerical Index of the Lp Space
E Ed-Dari, MA Khamsi - Proceedings of the American Mathematical Society, 2006 - JSTOR
The Numerical Index of the L<sub>p</sub> Space Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 7, Pages 2019-2025 S 0002-9939(05)08231-6 …
AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 7, Pages 2019-2025 S 0002-9939(05)08231-6 …
Banach spaces having the Radon-Nikodym property and numerical index 1
M Martín - Proceedings of the American Mathematical Society, 2003 - ams.org
Let X be a Banach space with the Radon-Nikodym property. Then, the following are
equivalent.(i) X has numerical index 1.(ii)| x∗∗(x∗)|= 1 for all x∗∈ ex (BX*) and x∗∗∈ ex …
equivalent.(i) X has numerical index 1.(ii)| x∗∗(x∗)|= 1 for all x∗∈ ex (BX*) and x∗∗∈ ex …