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

共 50 条

[31] Weak Amenability of Fourier Algebras on Compact groups
Forrest, Brian E.
Samei, Ebrahim
Spronk, Nico
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (03) : 1379 - 1393
[32] Fixed point property for Banach algebras associated to locally compact groups
Lau, Anthony To-Ming
Mah, Peter F.
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (02) : 357 - 372
[33] TOPOLOGICALLY STATIONARY LOCALLY COMPACT GROUPS AND AMENABILITY
WONG, JCS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 144 (OCT) : 351 - &
[34] Weakly compactly generated Banach algebras associated to locally compact groups
Kaniuth, E
Lau, AT
Schlichting, G
JOURNAL OF OPERATOR THEORY, 1998, 40 (02) : 323 - 337
[35] SOME HOMOLOGICAL PROPERTIES OF BANACH ALGEBRAS ASSOCIATED WITH LOCALLY COMPACT GROUPS
Nemati, Mehdi
COLLOQUIUM MATHEMATICUM, 2015, 139 (02) : 259 - 271
[36] TOPOLOGICALLY STATIONARY LOCALLY COMPACT GROUPS AND AMENABILITY
WONG, JC
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 316 - &
[37] A Note on Amenability of Locally Compact Quantum Groups
Soltan, Piotr M.
Viselter, Ami
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (02): : 424 - 430
[38] INNER AMENABILITY OF LOCALLY COMPACT QUANTUM GROUPS
Ghanei, Mohammad Reza
Nasr-Isfahani, Rasoul
INTERNATIONAL JOURNAL OF MATHEMATICS, 2013, 24 (07)
[39] On φ-amenability of Banach algebras
Kaniuth, Eberhard
Lau, Anthony T.
Pym, John
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2008, 144 : 85 - 96
[40] A UNIFIED APPROACH TO THE ARENS REGULARITY AND RELATED PROBLEMS FOR A CLASS OF BANACH ALGEBRAS ASSOCIATED WITH LOCALLY COMPACT GROUPS
Lau, Anthony To-Ming
Ulger, Ali
QUARTERLY JOURNAL OF MATHEMATICS, 2021, 72 (04): : 1311 - 1327

← 1 2 3 4 5 →