(-1)-Weak Amenability of Second Dual of Real Banach Algebras

被引:2
作者
Alihoseini, Hamidreza [1 ]
Alimohammadi, Davood [1 ]
机构
[1] Univ Arak, Dept Math, Fac Sci, Arak 3815688349, Iran
来源
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2018年 / 12卷 / 01期
关键词
D O I
10.22130/scma.2018.88929.466
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (A,broken vertical bar broken vertical bar . broken vertical bar broken vertical bar) be a real Banach algebra, a complex algebra A(C) be a complexification of A and broken vertical bar broken vertical bar broken vertical bar . broken vertical bar broken vertical bar broken vertical bar be an algebra norm on AC satisfying a simple condition together with the norm broken vertical bar broken vertical bar . broken vertical bar broken vertical bar on A. In this paper we first show that A* is a real Banach A**-module if and only if (A(C))* is a complex Banach (A(C))**-module. Next we prove that A** is (-1)-Weakly amenable if and only if (A(C))** is (-1)-Weakly amenable. Finally, we give some examples of real Banach algebras which their second duals of some them are and of others are not (-1)-Weakly amenable.
引用
收藏
页码:59 / 88
页数:30
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