Metric criteria for Banach and Euclidean spaces
L. Loveland, J. Valentine (1978)
Fundamenta Mathematicae
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “Banach-Euclidean four-point properties”
Metric criteria for Banach and Euclidean spaces
The Menelaus Property characterizes real rotund Banach spaces
J. Valentine (1978)
Fundamenta Mathematicae
Similarity:
On the singlevaluedness and differentiation of metric projections
Zajíček, L.
Similarity:
Metric characterizations of Banach spaces
J. E. Valentine, S. G. Wayment (1973)
Colloquium Mathematicae
Similarity:
A local metric characterization of Banach spaces
J. E. Valentine, S. G. Wayment (1981)
Colloquium Mathematicae
Similarity:
Strictly convex spheres in V-spaces
Raymond Freese, Grattan Murphy (1983)
Fundamenta Mathematicae
Similarity:
Metric spaces with the small ball property
Ehrhard Behrends, Vladimir M. Kadets (2001)
Studia Mathematica
Similarity:
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...
On criteria of Blumenthal for inner-product spaces
Joseph Valentine (1971)
Fundamenta Mathematicae
Similarity:
Metric characterizations of Banach and Euclidean spaces
E. Andalafte, L. Blumenthal (1964)
Fundamenta Mathematicae
Similarity: