An isomorphic Banach-Stone theorem
Ehrhard Behrends, Michael Cambern (1988)
Studia Mathematica
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Displaying similar documents to “Banach-Stone theorems for non-separably valued Bochner – spaces”
An isomorphic Banach-Stone theorem
Primariness of some spaces of continuous functions.
Lech Drewnowski (1989)
Revista Matemática de la Universidad Complutense de Madrid
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On complementably universal Banach spaces
M. Kadec (1971)
Studia Mathematica
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Mappings of continuous functions on hyper-Stonean spaces
Michael Cambern, Peter Greim (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Extremal properties of the set of vector-valued Banach limits
Francisco Javier García-Pacheco (2015)
Open Mathematics
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In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X). For this we first need to study when the space of almost convergent sequences is closed in the space of bounded sequences, which turns out to happen only when the underlying space is complete. Finally, a study on the extremal structure of the set of vector-valued Banach limits is conducted...
Isometric stability property of Banach spaces.
Pei-Kee Lin (1997)
Collectanea Mathematica
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How far is C₀(Γ,X) with Γ discrete from C₀(K,X) spaces?
Leandro Candido, Elói Medina Galego (2012)
Fundamenta Mathematicae
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For a locally compact Hausdorff space K and a Banach space X we denote by C₀(K,X) the space of X-valued continuous functions on K which vanish at infinity, provided with the supremum norm. Let n be a positive integer, Γ an infinite set with the discrete topology, and X a Banach space having non-trivial cotype. We first prove that if the nth derived set of K is not empty, then the Banach-Mazur distance between C₀(Γ,X) and C₀(K,X) is greater than or equal to 2n + 1. We also show that the...