Amenability properties of Banach algebra valued continuous functions

被引：6

作者：

Ghamarshoushtari, Reza ^{[1
]}

Zhang, Yong ^{[1
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Abstract continuous functions; Amenability; Approximate diagonal; Weak amenability; APPROXIMATE;

D O I：

10.1016/j.jmaa.2014.09.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a compact Hausdorff space and A a Banach algebra. We investigate amenability properties of the algebra C(X, A) of all A-valued continuous functions. We show that C(X, A) has a bounded approximate diagonal if and only if A has a bounded approximate diagonal; if A has a compactly central approximate diagonal (unbounded) then C(X, A) has a compactly approximate diagonal. Weak amenability of C(X, A) for commutative A is also considered. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1335 / 1341

页数：7

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