Derivations on certain matrix algebras with applications to compact groups

被引:0
作者
Samea, H. [1 ]
Abolghasemi, M. [2 ]
机构
[1] Bu Ali Sina Univ, Dept Math, Hamadan, Iran
[2] Razi Univ, Dept Math, Kermanshah, Iran
关键词
Multiplier; Derivation; Weak amenable Banach algebra; AMENABILITY;
D O I
10.36045/bbms/1244038146
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we characterize the derivations from (sic)(p)((G) over cap) into (sic)(q)((G) over cap), 1 <= p, q <= infinity. We find necessary and sufficient conditions for weak amenability of Banach algebras (sic)(p)((G) over cap), 1 <= p <= infinity. Moreover we find a necessary condition for the weak amenability of the convolution Banach algebra A (G) on a compact group G, where its sufficiency was proved earlier by Ghahramani and Lau.
引用
收藏
页码:361 / 372
页数:12
相关论文
共 6 条
[1]  
[Anonymous], LECT NOTES MATH
[2]  
Dales H. G., 2000, BANACH ALGEBRAS AUTO
[3]   Approximate weak amenability, derivations and Arens regularity of Segal algebras [J].
Ghahramani, F ;
Lau, ATM .
STUDIA MATHEMATICA, 2005, 169 (02) :189-205
[4]   Generalized notions of amenability [J].
Ghahramani, F ;
Loy, RJ .
JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 208 (01) :229-260
[5]  
HEWITT E, 1970, ABSTRACT HARMONIC AN, V2
[6]  
Rudin W., 1991, FUNCTIONAL ANAL