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- W2003306582 abstract "Abstract The notion of σ-amenability for Banach algebras and its related notions were introduced and extensively studied by M.S. Moslehian and A.N. Motlagh in [10]. We develop these notions parallel to the amenability of Banach algebras introduced by B.E. Johnson in [5]. Briefly, we investigate σ-contractibility and σ-biprojectivity of Banach algebras, which are extensions of usual notions of contractibility and biprojectivity, respectively, where σ is a bounded endomorphism of the corresponding Banach algebra. We also give the notion σ-diagonal. Then we verify relations between σ-contractibility, σ-biprojectivity and the existence of a σ-diagonal for a Banach algebra, when σ has dense range or is an idempotent. Moreover, we obtain some hereditary properties of these concepts." @default.
- W2003306582 created "2016-06-24" @default.
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- W2003306582 date "2010-12-27" @default.
- W2003306582 modified "2023-09-23" @default.
- W2003306582 title "σ-Contractible andσ-biprojective Banach algebras" @default.
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- W2003306582 doi "https://doi.org/10.2989/16073606.2010.541635" @default.
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