The asymptotically commuting bounded approximation property of Banach spaces

被引：3
作者：
Oja, Eve [1 ,2 ]
Zolk, Indrek [1 ]
机构：
[1] Univ Tartu, Fac Math & Comp Sci, EE-50409 Tartu, Estonia
[2] Estonian Acad Sci, EE-10130 Tallinn, Estonia
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 02期
关键词：
Banach spaces; The asymptotically commuting bounded approximation property; Approximation properties defined by operator ideals; Extension operators; (Locally) complemented subspaces; OPERATORS; APPROXIMABILITY; PROJECTIONS; REFLEXIVITY; NUCLEAR; IDEALS;
D O I：
10.1016/j.jfa.2013.07.028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and study the asymptotically commuting bounded approximation property of Banach spaces. This property is, e.g., enjoyed by any dual space with the bounded approximation property. The principal result is the following: if a Banach space X has the asymptotically lambda-commuting bounded approximation property, then X is saturated with locally lambda-complemented separable subspaces enjoying the A-commuting bounded approximation property. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：1068 / 1087
页数：20
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