Amenable groups and bounded Δ-weak approximate identities

2014/04/08 by Fozouni, Mohammad
#22D05 #43A07 #43A15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1404.2262

Abstract

Let A be a Banach algebra with a non-empty character space. We say that a bounded net \e_α\ in A is a bounded Δ-weak approximate identity for A if, for each a∈ A and compact subset K of Δ(A), ||\widehate_αa-\widehata||_K=sup_{ϕ∈ K}|ϕ(e_αa)-ϕ(a)|→ 0. For each 1

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