On Weakly Sequentially Complete Banach Spaces

被引：0

作者：

Bednarczuk, Ewa M. ^{[1
,2
]}

Lesniewski, Krzysztof ^{[2
]}

机构：

[1] Polish Acad Sci, Syst Res Inst, Ul Newelska 6, PL-01447 Warsaw, Poland

[2] Warsaw Univ Technol, Fac Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw, Poland

来源：

JOURNAL OF CONVEX ANALYSIS | 2017年 / 24卷 / 04期

关键词：

Weakly sequentially complete Banach spaces; directional derivatives of cone convex mappings; cone convex mappings; directional derivatives;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide sufficient conditions for a Banach space Y to be weakly sequentially complete. These conditions are expressed in terms of the existence of directional derivatives for cone convex mappings with values in Y.

引用

页码：1341 / 1356

页数：16

共 50 条

[31] Sequentially Right-Like Properties on Banach Spaces
Alikhani, Morteza
FILOMAT, 2019, 33 (14) : 4461 - 4474
[32] CHARACTERIZATIONS OF CONTRACTIONS IN SEQUENTIALLY COMPLETE, UNIFORM SPACES
GUENARD, F
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 287 (16): : 1077 - 1080
[33] WEAKLY EXTREMAL PROPERTIES OF BANACH-SPACES
FONF, VP
MATHEMATICAL NOTES, 1989, 45 (5-6) : 488 - 494
[34] WEAKLY METRIZABILITY OF SPHERES AND RENORMINGS OF BANACH SPACES
Ferrari, S.
Orihuela, J.
Raja, M.
QUARTERLY JOURNAL OF MATHEMATICS, 2016, 67 (01): : 15 - 27
[35] Weakly Perturbed Operator Equations in Banach Spaces
V. F. Zhuravlev
Ukrainian Mathematical Journal, 2017, 69 : 876 - 891
[36] Weakly Perturbed Operator Equations in Banach Spaces
Zhuravlev, V. F.
UKRAINIAN MATHEMATICAL JOURNAL, 2017, 69 (06) : 876 - 891
[37] EXTENSION OF SEQUENTIALLY CONTINUOUS FUNCTIONALS IN INDUCTIVE LIMITS OF BANACH SPACES
PTAK, V
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1970, 20 (01) : 112 - &
[38] On weakly locally uniformly rotund Banach spaces
Moltó, A
Orihuela, J
Troyanski, S
Valdivia, M
JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 163 (02) : 252 - 271
[39] ON WEAKLY COUNTABLY DETERMINED BANACH-SPACES
MERCOURAKIS, S
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 300 (01) : 307 - 327
[40] Determinacy and weakly Ramsey sets in Banach spaces
Bagaria, J
López-Abad, JL
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (04) : 1327 - 1349

← 1 2 3 4 5 →