INVARIANTLY COMPLEMENTED AND AMENABILITY IN BANACH ALGEBRAS RELATED TO LOCALLY COMPACT GROUPS

被引：0

作者：

Ghaffari, Ali ^{[1
]}

Amirjan, Somayeh ^{[1
]}

机构：

[1] Semnan Univ, Dept Math, POB 35195-363, Semnan, Iran

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 02期

关键词：

Amenability; Banach algebra; group algebra; homomorphism; operator; projection; weak* topology; L-INFINITY G; BOUNDED APPROXIMATE IDENTITIES; SUBSPACES; IDEALS;

D O I：

10.1216/RMJ-2017-47-2-445

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, among other things, we show that there is a close connection between the existence of a bounded projection on some Banach algebras associated to a locally compact group G and the existence of a left invariant mean on L-infinity(G). A necessary and sufficient condition is found for a locally compact group to possess a left invariant mean.

引用

页码：445 / 461

页数：17

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