Metric characterizations of Banach spaces
J. E. Valentine, S. G. Wayment (1973)
Colloquium Mathematicae
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Displaying similar documents to “Metric spaces with the small ball property”
Metric characterizations of Banach spaces
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Ball remotal subspaces of Banach spaces
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We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X). ...
The Szlenk index and the fixed point property under renorming.
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