On convexity properties of ψ-direct sums of Banach spaces

被引：14

作者：

Dowling, PN ^{[1
]}

机构：

[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 288卷 / 02期

关键词：

D O I：

10.1016/j.jmaa.2003.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The psi-direct sum of Banach spaces is strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) if each of the Banach spaces are strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) and the corresponding psi-norm is strictly convex. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：540 / 543

页数：4

共 50 条

[1] On ψ-direct sums of Banach spaces and convexity
Kato, M
Saito, KS
Tamura, T
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 75 : 413 - 422
[2] Uniform convexity of ψ-direct sums of Banach spaces
Saito, KS
Kato, M
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (01) : 1 - 11
[3] U-CONVEXITY OF ψ-DIRECT SUMS OF BANACH SPACES
Mitani, Ken-Ichi
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2010, 11 (02) : 199 - 213
[4] Complex strict convexity of absolute norms on Cn and direct sums of Banach spaces
Dowling, Patrick N.
Turett, Barry
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 930 - 937
[5] Sums of slices in direct sums of Banach spaces
Oja, Eve
[J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2014, 63 (01) : 8 - 10
[6] Strict convexity of absolute norms on C2 and direct sums of Banach spaces
Takahashi, Y
Kato, M
Saito, KS
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2002, 7 (02) : 179 - 186
[7] CHARACTERIZATIONS OF GEOMETRICAL PROPERTIES OF BANACH SPACES USING ψ-DIRECT SUMS
Zhang, Zhihua
Shu, Lan
Zheng, Jun
Yang, Yuling
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (02) : 417 - 430
[8] A note on geometrical properties of Banach spaces using ψ-direct sums
Mitani, Ken-Ichi
Saito, Kichi-Suke
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 898 - 907
[9] Smoothness of ψ-direct sums of Banach spaces
Mitani, KI
Oshiro, S
Saito, KS
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (01): : 147 - 157
[10] Reflexivity of Spaces of Polynomials on Direct Sums of Banach Spaces
Aguiar, Adriano L.
Moraes, Luiza A.
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2009, 45 (02) : 351 - 361

← 1 2 3 4 5 →