Banach代数第二对偶的弱模适应性

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-11-17 DOI:10.12697/acutm.2021.25.19

Shabani Soltanmoradi, Davood Ebrahimi Bagha, Pourbahri Rahpeyma

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引用次数: 0

摘要

本文研究了具有相容作用的Banach代数上的Banach模的弱模适应性。证明了对于每一个模块派生D: A≠(A/J_A)∗，如果D∗∗(A∗∗)≥WAP (A/J_A)，则A∗∗的弱模块可适性蕴涵着A的弱模块可适性。同时证明了对于模块派生D，在一定条件下，如果A∗∗是弱模块可适性，则A也是弱模块可适性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weak module amenability for the second dual of a Banach algebra

In this paper we study the weak module amenability of Banach algebras which are Banach modules over another Banach algebra with compatible actions. We show that for every module derivation D : A ↦ ( A/J_A )∗ if D∗∗(A∗∗) ⊆ WAP (A/J_A ), then weak module amenability of A∗∗ implies that of A. Also we prove that under certain conditions for the module derivation D, if A∗∗ is weak module amenable then A is also weak module amenable.

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