Sectional representation of Banach modules and their multipliers.
Hõim, Terje, Robbins, D.A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Hõim, Terje, Robbins, D.A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Wojciech Chojnacki (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Rasoul Nasr-Isfahani, Sima Soltani Renani (2011)
Studia Mathematica
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Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary properties. We also study relations between homological properties of some Banach left 𝓐-modules, the left ϕ-contractibility and the right ϕ-amenability of 𝓐. Finally, we characterize the left character contractibility of various Banach algebras related to locally compact groups.
Wojciech Wojtyński (1973)
Colloquium Mathematicae
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Kitchen, J.W., Robbins, D.A. (1993)
International Journal of Mathematics and Mathematical Sciences
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El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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Fatemeh Anousheh, Davood Ebrahimi Bagha, Abasalt Bodaghi (2015)
Open Mathematics
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Let A be a Banach algebra, E be a Banach A-bimodule and Δ E → A be a bounded Banach A-bimodule homomorphism. It is shown that under some mild conditions, the weakΔ''-amenability of E'' (as an A''-bimodule) necessitates weak Δ-amenability of E (as an A-bimodule). Some examples of weak-amenable Banach modules are provided as well.
Ehrhard Behrends, Ursula Schmidt-Bichler (1981)
Studia Mathematica
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Kitchen, J.W., Robbins, D.A. (1994)
International Journal of Mathematics and Mathematical Sciences
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Takahasi, Sin-Ei (1991)
International Journal of Mathematics and Mathematical Sciences
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