PSEUDO-AMENABILITY AND PSEUDO-CONTRACTIBILITY FOR CERTAIN PRODUCTS OF BANACH ALGEBRAS

被引:3
作者
Ghaderi, Eghbal [1 ,2 ]
Nasr-Isfahani, Rasoul [1 ,2 ]
Nemati, Mehdi [1 ,2 ]
机构
[1] Isfahan Univ Technol, Dept Math Sci, POB 84156-83111, Esfahan, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
关键词
Banach algebra; Lau product; pseudo-amenability; pseudo-contractibility; character pseudoamenability; LOCALLY COMPACT-GROUPS; CHARACTER AMENABILITY; HARMONIC-ANALYSIS; APPROXIMATE;
D O I
10.1515/ms-2016-0229
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A and B be two Banach algebras and let. be a nonzero character on B. In this paper, we deal with the theta-Lau product A x B-theta that was first introduced by A. T. Lau for certain Banach algebras known as Lau algebras and recently by M. S. Monfared for all Banach algebras; we study pseudo-amenability, pseudo-contractibility and character pseudo-amenability of Ax(theta)B and their relations with A and B. (C) 2016 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:1367 / 1374
页数:8
相关论文
共 21 条
[1]  
Alaghmandan M, 2010, ARCH MATH, V95, P373, DOI 10.1007/s00013-010-0177-2
[2]  
[Anonymous], 1972, MEM AM MATH SOC
[3]   Approximate and pseudo-amenability of various classes of Banach algebras [J].
Choi, Y. ;
Ghahramani, F. ;
Zhang, Y. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (10) :3158-3191
[4]   Approximate amenability for Banach sequence algebras [J].
Dales, H. G. ;
Loy, R. J. ;
Zhang, Y. .
STUDIA MATHEMATICA, 2006, 177 (01) :81-96
[5]   Common fixed point properties and amenability of a class of Banach algebras [J].
Desaulniers, Shawn ;
Nasr-Isfahani, Rasoul ;
Nemati, Mehdi .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (02) :536-544
[6]   SOME NOTIONS OF AMENABILITY FOR CERTAIN PRODUCTS OF BANACH ALGEBRAS [J].
Ghaderi, Eghbal ;
Nasr-Isfahani, Rasoul ;
Nemati, Mehdi .
COLLOQUIUM MATHEMATICUM, 2013, 130 (02) :147-157
[7]   Pseudo-amenable and pseudo-contractible Banach algebras [J].
Ghahramani, F. ;
Zhang, Y. .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 142 :111-123
[9]   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
[10]   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