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

[1] Generalized notions of character amenability [J].

Aghababa, Hasan Pourmahmood ;

Shi, Luo Yi ;

Wu, Yu Jing .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (07) :1329-1350

[2]

Aiaghmandan M., 2010, B AUST MATH SOC, V82, P274

[3]

[Anonymous], 1964, Bull. Soc. Math. France, DOI DOI 10.24033/BSMF.1607

[4]

[Anonymous], 1972, MEM AM MATH SOC

[5]

[Anonymous], 1929, Collected works

[6] THE ADJOINT OF A BILINEAR OPERATION [J].

ARENS, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (06) :839-848

[7] Module character amenability of Banach algebras [J].

Bodaghi, Abasalt ;

Amini, Massoud .

ARCHIV DER MATHEMATIK, 2012, 99 (04) :353-365

[8]

CLIFFORD AH, 1961, AM MATH SOC SURVEYS, V7

[9] CO-HOMOLOGY OF OPERATOR ALGEBRAS [J].

CONNES, A .

JOURNAL OF FUNCTIONAL ANALYSIS, 1978, 28 (02) :248-253

[10] Banach Algebras on Semigroups and on Their Compactifications [J].

Dales, H. G. ;

Lau, A. T. -M. ;

Strauss, D. .

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 205 (966) :1-+

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