MODULE HOMOMORPHISMS ASSOCIATED WITH BANACH ALGEBRAS

被引：3

作者：

Ghaffari, Ali ^{[1
]}

机构：

[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 03期

关键词：

Banach algebras; left multipliers; Operators; Weak operator topology; Weakly almost periodic; Weak*-weak* continuous; LOCALLY COMPACT-GROUPS;

D O I：

10.11650/twjm/1500406285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a Banach algebra. In this paper, among the other things, we present a few results in the theory of homomorphisms on A*. We want to find out when the equality T (af) = aT(f) for every a is an element of A and f is an element of A* implies the equality T(Ff) = FT(f) for every f is an element of A* and F is an element of A**. One of the main results of this paper is to introduce and study the notion of a weakly almost periodic operator.

引用

页码：1075 / 1088

页数：14

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