A remark on Ʌ-systems in Banach spaces
J. R. Holub (1971)
Colloquium Mathematicae
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Displaying similar documents to “The structure of a subclass of amenable Banach algebras.”
A remark on Ʌ-systems in Banach spaces
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Character contractibility of Banach algebras and homological properties of Banach modules
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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.
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Stanisław Szufla (2009)
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The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.
Rolle's theorem and negligibility of points in infinite dimensional Banach spaces.
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