Factorization in Banach algebras
Vlastimil Pták (1979)
Studia Mathematica
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Vlastimil Pták (1979)
Studia Mathematica
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David Johnson, Charles Lahr (1982)
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El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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Ehrhard Behrends, Michael Cambern (1988)
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Gustavo Corach, Fernando Suárez (1987)
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Niels Groenbaek (1989)
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W. Badé, P. Curtis, K. Laursen (1980)
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Vladimír Müller (1988)
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Rasoul Nasr-Isfahani, Sima Soltani Renani (2011)
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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.
Niels Gronbaek (1982)
Mathematica Scandinavica
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Anthony To-Ming Lau (1983)
Fundamenta Mathematicae
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