On the points of multivaluedness of metric projections in separable Banach spaces
Luděk Zajíček (1978)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On the singlevaluedness and differentiation of metric projections”
On the points of multivaluedness of metric projections in separable Banach spaces
Metric characterizations of Banach spaces
J. E. Valentine, S. G. Wayment (1973)
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Metric spaces with the small ball property
Ehrhard Behrends, Vladimir M. Kadets (2001)
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A metric space (M,d) is said to have the small ball property (sbp) if for every ε₀ > 0 it is possible to write M as the union of a sequence (B(xₙ,rₙ)) of closed balls such that the rₙ are smaller than ε₀ and lim rₙ = 0. We study permanence properties and examples of sbp. The main results of this paper are the following: 1. Bounded convex closed sets in Banach spaces have sbp only if they are compact. 2. Precisely the finite-dimensional Banach spaces have sbp. (More generally: a complete...
The Menelaus Property characterizes real rotund Banach spaces
J. Valentine (1978)
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L. Loveland, J. Valentine (1978)
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Corrigendum to ``Isometric embeddings of a class of separable metric spaces into Banach spaces''
Sophocles K. Mercourakis, Georgios Vassiliadis (2018)
Commentationes Mathematicae Universitatis Carolinae
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