A generalization of cyclic amenability of Banach algebras

2013/01/15 by Behrouz Shojaee, Shojaee, Behrouz, Abasalt Bodaghi +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1301.3239

openalex publication_date 2013/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper continues the investigation of Esslamzadeh and the first author which was begun in [7]. It is shown that homomorphic image of an approximately cyclic amenable Banach algebra is again approximately cyclic amenable. Equivalence of approximate cyclic amenability of a Banach algebra A and approximate cyclic amenability of M_n(A) is proved. It is shown that under certain conditions the approximate cyclic amenability of second dual A^** implies the approximate cyclic amenability of A.

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