Authors | Ebrahim Nasrabadi |
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Conference Title | بیست و سومین سمینار آنالیز ریاضی و کاربردهای آن |
Holding Date of Conference | 2018-11-14 |
Event Place | اراک |
Page number | 0-0 |
Presentation | SPEECH |
Conference Level | Internal Conferences |
Abstract
Let $َ\mathfrak{A}, \mathfrak{B}$ and $A$ be Banach algebras and $X$ be Banach $\mathfrak{A}$-$A$-module and Banach $\mathfrak{B}$-$A$-module. In this paper show that $A$ is $\mathfrak A\oplus\mathfrak B$-module amenable (weak $\mathfrak A\oplus\mathfrak B$-module amenable) if and only if $A$ is both $\mathfrak A$-module amenable and $\mathfrak B$-module amenable (weak $\mathfrak A$-module amenable and weak $\mathfrak B$-module amenable).
tags: Banach algebra, Module amenability, Weak module amenability, $\ell^1$-direct sum