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

页码：293 / 312

页数：20

共 48 条

[21] Essmaili M, 2016, GLAS MAT, V51, P45
[22] Amenability and weak amenability of second conjugate Banach algebras
Ghahramani, F
Loy, RJ
Willis, GA
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (05) : 1489 - 1497
[23] Weak amenability of certain classes of Banach algebras without bounded approximate identities
Ghahramani, F
Lau, ATM
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2002, 133 : 357 - 371
[24] ALL NUCLEAR C-STAR-ALGEBRAS ARE AMENABLE
HAAGERUP, U
[J]. 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
Hu, Z.
Monfared, M. Sangani
Traynor, T.
[J]. STUDIA MATHEMATICA, 2009, 193 (01) : 53 - 78
[28] APPROXIMATE DIAGONALS AND COHOMOLOGY OF CERTAIN ANNIHILATOR BANACH ALGEBRAS
JOHNSON, BE
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1972, 94 (03) : 685 - &
[29] On character amenability of Banach algebras
Kaniuth, E.
Lau, A. T.
Pym, J.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) : 942 - 955
[30] On φ-amenability of Banach algebras
Kaniuth, Eberhard
Lau, Anthony T.
Pym, John
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2008, 144 : 85 - 96

← 1 2 3 4 5 →