A Note on Essentially Left ϕ-Contractible Banach Algebras

Document Type : Research Paper


Ilam University


In this note, we show that [11, Corollary 3.2] is not always true. In fact, we characterize essential left ϕ-contractibility of group algebras in terms 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 the essential left ϕ-contractibility of some Fourier algebras.


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