2020/06/06 by Ali Jabbari, Jabbari, Ali, Ali Ebadian +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 46H05 #Secondary 43A10
paper · pdf · doi:10.48550/arxiv.2006.03823
openalex publication_date 2020/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce p-amenability, bounded s-symmetric approximate and s-symmetric virtual diagonals for a Banach algebra \mathfrakA where s is a non-zero element of algebraic center of \mathfrakA that is denoted by Z(\mathfrakA). We show that if a Banach algebra \mathfrakA is p-amenable then it has bounded s-symmetric approximate and s-symmetric virtual diagonals and by this fact we prove that if the Banach algebra \mathfrakA is unital then p-amenability and symmetric amenability are equivalent.