On the Banach-Stone Theorem.
Ehrhard Behrends (1978)
Mathematische Annalen
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Ehrhard Behrends (1978)
Mathematische Annalen
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Bernd Anger, Jörg Lembcke (1974)
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Seán DINEEN (1971)
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Daniel C. Kemp (1975)
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Catherine Finet (1989)
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F.S. KOEHL (1969)
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Klaus Deimling (1974)
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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...