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arXiv · 2609.17428

Equivalence of Pseudo- and Approximate Amenability in Banach Algebras

Fereidoun Ghahramani·Maedeh Soroushmehr·Yong Zhang
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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.

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Fereidoun Ghahramani, Maedeh Soroushmehr, Yong Zhang. 2026-09-15. Equivalence of Pseudo- and Approximate Amenability in Banach Algebras. https://arxiv.org/abs/2609.17428

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