NOTE ON CHARACTER AMENABILITY IN BANACH ALGEBRAS

被引:0
作者
Mewomo, O. T. [1 ]
机构
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
来源
MATHEMATICAL REPORTS | 2017年 / 19卷 / 03期
关键词
character; Banach algebra; Beurling algebra; semigroup algebra; group algebra; measure algebra; Segal algebra; left character amenable; right character amenable; character amenable; WEAK AMENABILITY; APPROXIMATE IDENTITIES; SEMIGROUP ALGEBRAS; PHI-AMENABILITY; SEGAL ALGEBRAS; NOTIONS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a survey of results and problems concerning the notion of character amenability in Banach algebras. We also provide different characterizations of this notion of amenability and the relationship that exists between this notion and some important properties of the algebras. Results and problems are surveyed over general Banach algebras and Banach algebras in different classes.
引用
收藏
页码:293 / 312
页数:20
相关论文
共 48 条
[21]  
Essmaili M, 2016, GLAS MAT, V51, P45
[22]   Amenability and weak amenability of second conjugate Banach algebras [J].
Ghahramani, F ;
Loy, RJ ;
Willis, GA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (05) :1489-1497
[23]   Weak amenability of certain classes of Banach algebras without bounded approximate identities [J].
Ghahramani, F ;
Lau, ATM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2002, 133 :357-371
[24]   ALL NUCLEAR C-STAR-ALGEBRAS ARE AMENABLE [J].
HAAGERUP, U .
INVENTIONES MATHEMATICAE, 1983, 74 (02) :305-319
[25]  
Helemski A.Ya., 1989, HOMOLOGY BANACH TOPO
[26]  
Hewitt E., 1979, Abstract Harmonic Analysis, V3
[27]   On character amenable Banach algebras [J].
Hu, Z. ;
Monfared, M. Sangani ;
Traynor, T. .
STUDIA MATHEMATICA, 2009, 193 (01) :53-78
[29]   On character amenability of Banach algebras [J].
Kaniuth, E. ;
Lau, A. T. ;
Pym, J. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) :942-955
[30]   On φ-amenability of Banach algebras [J].
Kaniuth, Eberhard ;
Lau, Anthony T. ;
Pym, John .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2008, 144 :85-96