AMENABILITY OF VECTOR-VALUED GROUP ALGEBRAS

Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JAS-3-2_001

تاریخ نمایه سازی: 30 آذر 1395

Abstract:

The purpose of carrying out this work is to develop the amenability notations for vector-valued group algebras. We prove that L1(G;A) is approximately weakly amenable where Ais a unital separable Banach algebra. We give the necessary, and sufficient conditions for the existence of a left invariant mean on L1(G;A ), LUC(G;A ), WAP(G;A ), and C0(G;A ).