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Journals / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 1

GENERALIZED NOTION OF WEAK MODULE AMENABILITY

Abasalt BODAGHİ
Pages
85–95
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We then study this concept for an inversesemigroup S, where some examples on(S) and C∗ (S) are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we introduce a new notion of weak moduleamenability for Banach algebras which is related to module homomorphisms.
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Key Findings & Data:Among other results, we investigate the relationship betweenthis concept for a Banach algebraA which is a Banach A-bimodule withcompatible actions, and the quotient Banach algebraA/J where J isthe closed ideal ofA generated by elements of the form (a·α)b−a(α·b)for a ∈A and α ∈ A.
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Conclusion & Impact:We then study this concept for an inversesemigroup S, where some examples on(S) and C∗ (S) are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Banach modules · Module derivation · Weak amenability

Abstract

In the present paper, we introduce a new notion of weak moduleamenability for Banach algebras which is related to module homomorphisms. Among other results, we investigate the relationship betweenthis concept for a Banach algebraA which is a Banach A-bimodule withcompatible actions, and the quotient Banach algebraA/J where J isthe closed ideal ofA generated by elements of the form (a·α)b−a(α·b)for a ∈A and α ∈ A. We then study this concept for an inversesemigroup S, where some examples on(S) and C∗ (S) are given.

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Cite This Article

BODAGHİ, A. (2022). GENERALIZED NOTION OF WEAK MODULE AMENABILITY. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 1, 85–95. https://ajindex.com/articles/530316

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