Banach spaces which are far from all lattices

被引：0

作者：

Gordon, Y ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

POSITIVITY | 2003年 / 7卷 / 1-2期

关键词：

D O I：

10.1023/A:1025854106445

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider n-dimensional real Banach spaces X which are far, in the Banach-Mazur distance, from all complemented subspaces of all Banach lattices. We show that this is related to the volume ratio values of X with respect to ellipsoids and to zonoids.

引用

页码：99 / 102

页数：4

共 50 条

[41] BOUNDED SETS WHICH GENERATE BANACH SPACES
VALDIVIA, M
ARCHIV DER MATHEMATIK, 1972, 23 (06) : 640 - 642
[42] Banach spaces which are somewhat uniformly noncreasy
Fetter, H
de Buen, BG
García-Falset, J
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 285 (02) : 444 - 455
[43] On Algebras Which are Inductive Limits of Banach Spaces
Alpay, Daniel
Salomon, Guy
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 83 (02) : 211 - 229
[44] Which Distributive Lattices are Lattices of Open Sets of P-Spaces?
Jinbo Yang
Xiaoyong Xi
Order, 2021, 38 : 391 - 399
[45] Which Distributive Lattices are Lattices of Open Sets of P-Spaces?
Yang, Jinbo
Xi, Xiaoyong
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2021, 38 (03): : 391 - 399
[46] Banach lattices which are N-order uniformly noncreasy
Betiuk-Pilarska, Anna
Prus, Stanislaw
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (02) : 459 - 471
[47] OPERATORS WHICH FACTOR THROUGH CONVEX BANACH-LATTICES
REISNER, S
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1980, 32 (06): : 1482 - 1500
[48] Isomorphic and isometric copies of l(infinity)(Gamma) in duals of Banach spaces and Banach lattices
Wojtowicz, Marek
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2006, 47 (03): : 467 - 471
[49] BANACH ENVELOPES OF p-BANACH LATTICES, 0 < p < 1, AND CESARO SPACES
Kaminska, Anna
Lin, Pei-Kee
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2014, 50 (02) : 297 - 306
[50] DECOMPOSITIONS OF VECTOR MEASURES IN RIESZ SPACES AND BANACH-LATTICES
SCHMIDT, KD
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1986, 29 : 23 - 39

← 1 2 3 4 5 →