Ultraproducts in Banach space theory.
Stefan Heinrich (1980)
Journal für die reine und angewandte Mathematik
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Stefan Heinrich (1980)
Journal für die reine und angewandte Mathematik
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Manuel Valdivia (1975)
Journal für die reine und angewandte Mathematik
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Jesús Ángel Jaramillo, Ángeles Prieto, Ignacio Zalduendo (2009)
Studia Mathematica
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This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties...
Ian Graham, Gabriela Kohr, John A. Pfaltzgraff (2004)
Publications de l'Institut Mathématique
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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.
K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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Jochen Reinermann (1970)
Annales Polonici Mathematici
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Stanisław Szufla (1977)
Annales Polonici Mathematici
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J. R. Holub (1971)
Colloquium Mathematicae
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