MODULE AMENABILITY OF MODULE LAU PRODUCT OF BANACH ALGEBRAS

Hojat Azaraien; Davood Ebrahimi Bagha

호남수학회 호남수학학술지 MODULE AMENABILITY OF MODULE LAU PRODUCT OF BANACH ALGEBRAS

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MODULE AMENABILITY OF MODULE LAU PRODUCT OF BANACH ALGEBRAS

( Hojat Azaraien ) , ( Davood Ebrahimi Bagha )

호남수학회 2020.09

호남수학학술지 42권 3호 537-550(14pages)

UCI I410-ECN-0102-2021-400-001395173

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초록

Let A, B, U be Banach algebras and B be a Banach U-bimodule also A be a Banach B-U-module. In this paper we study the relation between module amenability, weak module amenability and module approximate amenability of module Lau product A×_α B and that of Banach algebras A, B.

키워드

1. Introduction
2. Basic properties
3. Module amenability
4. Weak module amenability
5. Module approximate amenability
References

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