Extremal characterizations of reflexive spaces

被引：0

作者：

Wang, Xianfu ^{[1
]}

机构：

[1] UBC Okangan, Irving K Barber Sch Arts & Sci, Kelowna, BC V1V 1V7, Canada

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 82卷

关键词：

subgradients; proximal extremal principle; proximal fuzzy sum rule; reflexive space;

D O I：

10.1017/S144678870003620X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that a Banach space has a Frechet differentiable and locally uniformly convex norm. We show that the reflexive property of the Banach space is not only sufficient, but also a necessary condition for the fulfillment of the proximal extremal principle in nonsmooth analysis.

引用

页码：429 / 439

页数：11

共 50 条

[1] Extremal characterizations of Asplund spaces
Mordukhovich, BS
Shao, YG
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (01) : 197 - 205
[2] Some nonlinear characterizations of reflexive Banach spaces
Tang, Yan
Zhang, Shiqing
Guo, Tiexin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 519 (01)
[3] Characterizations of the reflexive spaces in the spirit of James' Theorem
Acosta, MD
Guerrero, JB
Galán, MR
[J]. TRENDS IN BANACH SPACES & OPERATOR THEORY, 2003, 321 : 1 - 14
[4] Characterizations of Geometric Tripotents in Reflexive Complex SFS-Spaces
J. Seypullaev
[J]. Lobachevskii Journal of Mathematics, 2019, 40 : 2111 - 2115
[5] Characterizations of Geometric Tripotents in Reflexive Complex SFS-Spaces
Seypullaev, J.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (12) : 2111 - 2115
[6] Weak real integral characterizations for exponential stability of semigroups in reflexive spaces
Constantin Buşe
Aftab Khan
Gul Rahmat
Olivia Saierli
[J]. Semigroup Forum, 2014, 88 : 195 - 204
[7] Weak real integral characterizations for exponential stability of semigroups in reflexive spaces
Buse, Constantin
Khan, Aftab
Rahmat, Gul
Saierli, Olivia
[J]. SEMIGROUP FORUM, 2014, 88 (01) : 195 - 204
[8] REFLEXIVE SPACES OF GENERALIZING ORLICHS REFLEXIVE SPACES
LOZANOVS.GY
[J]. DOKLADY AKADEMII NAUK SSSR, 1965, 163 (03): : 573 - &
[9] Two characterizations of super-reflexive Banach spaces by the behaviour of differences of convex functions
Boiso, MC
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2002, 191 (01) : 1 - 16
[10] Characterizations of Strength Extremal Graphs
Gu, Xiaofeng
Lai, Hong-Jian
Li, Ping
Yao, Senmei
[J]. GRAPHS AND COMBINATORICS, 2014, 30 (06) : 1453 - 1461

← 1 2 3 4 5 →