Some Properties of Vector-valued Lipschitz Algebras

被引:2
作者
Azizi, Mohsen [1 ]
Biyabani, Emamgholi [2 ]
Rejali, Ali [1 ]
机构
[1] Univ Isfahan, Dept Math, Esfahan, Iran
[2] Islamic Azad Univ, Dept Math, Majlesi Branch, Esfahan, Iran
来源
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2020年 / 15卷 / 02期
关键词
Character amenability; Lipschitz algebra; Metric space; Vector-valued functions; CHARACTER AMENABILITY;
D O I
10.29252/ijmsi.15.2.191
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (X, d) be a metric space and J subset of (0, infinity) be a nonempty set. We study the structure of the arbitrary intersection of vector-valued Lipschitz algebras, and define a special Banach subalgebra of boolean AND{Lip gamma(X, E): gamma is an element of J}, where E is a Banach algebra, denoted by ILipJ (X, E). Mainly, we investigate C-character amenability of ILip(J) (X, E).
引用
收藏
页码:191 / 205
页数:15
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