Weak ω-Approximate Biprojectivity of Banach Algebras

Zahra Ghorbani

Journal of Mathematics, 2025, vol. 2025, 1-10

Abstract: For a given Banach algebra M and a continuous endomorphism ω on M, we define weakly ω-approximately biprojective and weakly ω-approximately Helemskii biflat Banach algebras. We then examine the relationship between them and express the correlation between them and ω-pseudoamenability. In addition, we show that if ω is not an idempotent continuous endomorphism on AF2, then AF2 is weak ω-approximately biprojective. Here, F2 represents the free group on two generators, and AF2 denotes the Fourier algebra of F2.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1360880

DOI: 10.1155/jom/1360880

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