Bounded and sequential sigma-approximate amenability of Banach algebras

被引:1
作者
Abolghasemi, Mohammad [1 ]
Khoei, Mohsen Amini [1 ]
机构
[1] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran
来源
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2018年 / 18卷 / 02期
关键词
Banach algebra; sigma-derivation; bounded sigma-approximately inner; bounded sigma-approximate amenability; sequential sigma-approximate amenability;
D O I
10.22436/jmcs.018.02.12
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the notions of bounded sigma-approximate amenability and sequential sigma-approximate amenability for Banach algebras, where sigma is a continuous homomorphism of the corresponding Banach algebra. Also, we discuss some hereditary properties of these concepts.
引用
收藏
页码:248 / 254
页数:7
相关论文
共 50 条
[22]   ESSENTIAL CHARACTER AMENABILITY OF BANACH ALGEBRAS [J].
Nasr-Isfahani, Rasoul ;
Nemati, Mehdi .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 84 (03) :372-386
[23]   A note on the amenability constant of Banach algebras [J].
Soroushmehr, M. .
SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (06) :1133-1136
[24]   Character amenability of real Banach algebras [J].
Alihoseini, Hamidreza ;
Alimohammadi, Davood .
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2020, 11 (02) :255-284
[25]   Various notions of amenability in Banach algebras [J].
Mewomo, O. T. .
EXPOSITIONES MATHEMATICAE, 2011, 29 (03) :283-299
[26]   NOTE ON CHARACTER AMENABILITY IN BANACH ALGEBRAS [J].
Mewomo, O. T. .
MATHEMATICAL REPORTS, 2017, 19 (03) :293-312
[27]   CORRIGENDUM: AMENABILITY OF ULTRAPOWERS OF BANACH ALGEBRAS [J].
Daws, Matthew .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2010, 53 :633-637
[28]   A GENERALIZATION OF THE WEAK AMENABILITY OF BANACH ALGEBRAS [J].
Bodaghi, A. ;
Gordji, M. Eshaghi ;
Medghalchi, A. R. .
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2009, 3 (01) :131-142
[29]   ESSENTIAL AMENABILITY OF DUAL BANACH ALGEBRAS [J].
Ziamanesh, Mohsen ;
Shojaee, Behrouz ;
Mahmoodi, Amin .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019, 100 (03) :479-488
[30]   A note on the amenability constant of Banach algebras [J].
M. Soroushmehr .
Siberian Mathematical Journal, 2014, 55 :1133-1136