ON BANACH SPACES WITH THE APPROXIMATE HYPERPLANE SERIES PROPERTY

被引：4

作者：

Choi, Yun Sung ^{[1
]}

Kim, Sun Kwang ^{[2
]}

Lee, Han Ju ^{[3
]}

Martin, Miguel ^{[4
]}

机构：

[1] POSTECH, Dept Math, Pohang 790784, South Korea

[2] Kyonggi Univ, Dept Math, Suwon 443760, South Korea

[3] Dongguk Univ Seoul, Dept Math Educ, Seoul 100715, South Korea

[4] Univ Granada, Fac Ciencias, Dept Aanl Matemat, E-18071 Granada, Spain

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 9卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Banach space; approximation; norm-attaining operators; Bishop-Phelps-Bollobas theorem; PHELPS-BOLLOBAS THEOREM;

D O I：

10.15352/bjma/09-4-13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get a stability result to vector-valued spaces of integrable functions. On the other hand, the study of a possible Bishop-Phelps-Bollobas version of a classical result of V. Zizler leads to a new characterization of the AHSP for dual spaces in terms of w*-continuous operators and other related results.

引用

页码：243 / 258

页数：16

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