A bounded approximation of weakly compact operators

被引：5

作者：

Kim, Ju Myung ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151742, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 01期

关键词：

Approximation property; Bounded approximation property; Weak bounded approximation property; BANACH-SPACES; PROPERTY;

D O I：

10.1016/j.jmaa.2012.11.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study bounded approximation properties of operators. It is shown that for every weakly. compact operator T on a Banach space X, if T is uniformly approximated on each compact subset of X by finite rank operators, then T-2 can be approximated in the same topology by finite rank operators with the operator norm less than or equal to parallel to T parallel to(2). (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：154 / 159

页数：6

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