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Equivalence of Pseudo- and Approximate Amenability in Banach Algebras

Year: 2026

Type: preprint

Abstract: We prove that pseudo-amenability implies approximate amenability for Banach algebras with a bounded approximate identity. Consequently, these two notions of generalized amenability are equivalent for such Banach algebras. Our proof closes a gap in the paper by F. Ghahramani and Y. Zhang, Pseudo-amenable and pseudo-contractible Banach algebras.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.17428

Authors: Ghahramani, Fereidoun, Soroushmehr, Maedeh, Zhang, Yong

Institution: University of Manitoba

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W7213398026

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