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.
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页码：1335 / 1341
页数：7
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