ESSENTIAL AMENABILITY OF DUAL BANACH ALGEBRAS

被引：1

作者：

Ziamanesh, Mohsen ^{[1
]}

Shojaee, Behrouz ^{[2
]}

Mahmoodi, Amin ^{[3
]}

机构：

[1] Islamic Azad Univ, South Tehran Branch, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran

[3] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran, Iran

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2019年 / 100卷 / 03期

关键词：

Banach algebra; dual Banach algebra; essential amenability; essential Connes-amenability; CONNES-AMENABILITY; VIRTUAL DIAGONALS;

D O I：

10.1017/S0004972719000510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that an essentially amenable Banach algebra need not have an approximate identity. This answers a question posed by Ghahramani and Loy ['Generalized notions of amenability', J. Funct. Anal. 208 (2004), 229-260]. Essentially Connes-amenable dual Banach algebras are introduced and studied.

引用

页码：479 / 488

页数：10