2015/01/24 by Ahmad Shirinkalam, Shirinkalam, Ahmad, A. Pourabbas +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #math.FA
paper · pdf · doi:10.48550/arxiv.1501.06028
arxiv created 2015/01/24 · openalex publication_date 2015/01/24 · arxiv updated 2015/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a Banach algebra A , we introduce various approximate virtual diagonals such as approximate WAP-virtual diagonal and approximate virtual diagonal. For the enveloping dual Banach algebra F(A) of A , we show that F(A) is approximately Connes-amenable if and only if A has an approximate WAP-virtual diagonal. Further, for a discrete group G , we show that if the group algebra ℓ1(G) has an approximate WAP-virtual diagonal, then it has an approximate virtual diagonal.