A NOTE ON BIORTHOGONAL SYSTEMS IN WEAKLY COMPACTLY GENERATED BANACH SPACES

被引：0

作者：

Fabian, Marian ^{[1
]}

Gonzalez, Alma ^{[2
]}

Montesinos, Vicente ^{[2
]}

机构：

[1] Acad Sci Czech Republic, Math Inst, CR-11567 Prague, Czech Republic

[2] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia 46022, Spain

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2009年 / 34卷 / 02期

关键词：

Weakly compactly generated Banach spaces; biorthogonal systems; reflexivity; unconditional bases;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using separable projectional resolutions of the identity, we provide a different proof of a result of Argyros and Mercourakis on the behavior of fundamental biorthogonal systems in weakly compactly generated (in short, WCG) Banach spaces. This result, is used to discuss the example given lily Argyros of a non-WCG subspace of a WCG space of the form C(K).

引用

页码：555 / 564

页数：10

共 50 条

[31] COMPLETE BIORTHOGONAL SYSTEMS IN BANACH-SPACES
GODUN, BV
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1983, 17 (01) : 1 - 5
[32] A weak equivalence theorem for weak random elements with values in weakly compactly generated Banach spaces and its applications
Guo, TX
[J]. CHINESE SCIENCE BULLETIN, 1996, 41 (01): : 6 - 10
[33] A weak equivalence theorem for weak random elements with values in weakly compactly generated Banach spaces and its applications
郭铁信
[J]. Science Bulletin, 1996, (01) : 6 - 10
[34] A NOTE ON WEAKLY LINDELOF DETERMINED BANACH SPACES
Gonzalez, A.
Montesinos, V.
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (03) : 613 - 621
[35] ON CONES ASSOCIATED WITH BIORTHOGONAL SYSTEMS AND BASES IN BANACH SPACES
MCARTHUR, CW
SINGER, I
LEVIN, M
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1969, 21 (05): : 1206 - &
[36] A note on products of (weakly) discretely generated spaces
Peng, Liang-Xue
Yang, Chong
[J]. TOPOLOGY AND ITS APPLICATIONS, 2014, 161 : 354 - 363
[37] A note on weakly Lindelöf determined Banach spaces
A. González
V. Montesinos
[J]. Czechoslovak Mathematical Journal, 2009, 59 : 613 - 621
[38] Greedy approximation for biorthogonal systems in quasi-Banach spaces
Albiac, Fernando
Ansorena, Jose L.
Berna, Pablo M.
Wojtaszczyk, Przemyslaw
[J]. DISSERTATIONES MATHEMATICAE, 2021, 560 : 1 - 88
[39] EXISTENCE OF FUNDAMENTAL AND TOTAL BOUNDED BIORTHOGONAL SYSTEMS IN BANACH SPACES
DAVIS, WJ
JOHNSON, WB
[J]. STUDIA MATHEMATICA, 1973, 45 (02) : 173 - 179
[40] NORMING SUBSPACES, BIORTHOGONAL SYSTEMS, AND PRECONJUGATE BANACH-SPACES
GODUN, BV
KADETS, MI
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1982, 23 (01) : 33 - 36

← 1 2 3 4 5 →