Johnson pseudo-contractibility of certain Banach algebras and their nilpotent ideals

2017/12/14 by M. Askari-Sayah, Askari-Sayah, M., A. Pourabbas +3
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.1712.05058

openalex publication_date 2017/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the notion of Johnson pseudo-contractibility for certain Banach algebras. For a bicyclic semigroup S, we show that ℓ¹(S) is not Johnson pseudo-contractible. Also for a Johnson pseudo-contractible Banach algebra A, we show that A has no non-zero complemented closed nilpotent ideal.

Related

• Johnson pseudo-contractibility and pseudo-amenability of θ-Lau product of Banach algebras
• On (approximate) homological notions of certain Banach algebras
• Approximate biflatness and Johnson pseudo-contractibility of some Banach\n algebras
• On homological notions of Banach algebras related to a character
• Strong pseudo-amenability of some Banach algebras