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.
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页码：243 / 258
页数：16
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