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A note on essentially left ϕ-contractible Banach algebras

2019/07/11 by Amir Sahami, Sahami, A., Isaac Alması +1
Mathematics · #46H25 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 46H05 #Secondary 43A20

paper · pdf · doi:10.48550/arxiv.1907.05225

openalex publication_date 2019/07/11 · openalex created_date 2019/07/23 · openalex updated_date 2026/07/28

Abstract

In this note, we show that \cite[Corollary 3.2]sad is not always true. In fact, we characterize essential left ϕ-contractibility of the the group algebras in the term of compactness of its related locally compact group. Also we show that for any compact commutative group G, L2(G) is always essentially left ϕ-contractible. We discuss essential left ϕ-contractibility of some Fourier algebras.

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