Drop property equals reflexivity
V. Montesinos (1987)
Studia Mathematica
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Displaying similar documents to “On drop property”
Drop property equals reflexivity
Measures of noncompactness and normal structure in Banach spaces
J. García-Falset, A. Jiménez-Melado, E. Lloréns-Fuster (1994)
Studia Mathematica
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Sufficient conditions for normal structure of a Banach space are given. One of them implies reflexivity for Banach spaces with an unconditional basis, and also for Banach lattices.
On norm-attaining functionals
Maria D. Acosta, Vicente Montesinos (2006)
Acta Universitatis Carolinae. Mathematica et Physica
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A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces
G. Androulakis (1998)
Studia Mathematica
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Let (x_n) be a sequence in a Banach space X which does not converge in norm, and let E be an isomorphically precisely norming set for X such that (*) ∑_n |x*(x_{n+1} - x_n)| < ∞, ∀x* ∈ E. Then there exists a subsequence of (x_n) which spans an isomorphically polyhedral Banach space. It follows immediately from results of V. Fonf that the converse is also true: If Y is a separable isomorphically polyhedral Banach space then there exists a normalized M-basis (x_n) which spans Y and...
On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
S. Troyanski (1971)
Studia Mathematica
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Extraction of subsequences in Banach spaces.
Jesús M. Fernández Castillo (1992)
Extracta Mathematicae
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On WCG Banach spaces with norms which are uniformly differentiable in every direction
Kutzarova, D. N., Troyanski, S. L.
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