On non-separable Banach spaces with a symmetric basis
S. Troyanski (1975)
Studia Mathematica
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Displaying similar documents to “RNP and KMP are equivalent for some Banach spaces with shrinking basis”
On non-separable Banach spaces with a symmetric basis
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 shrinking basic sequences in Banach spaces
David Dean, Ivan Singer, Leonard Stembach (1971)
Studia Mathematica
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Some open problems in Banach space theory
Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
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On strong M-bases in Banach spaces with PRI.
Deba P. Sinha (2000)
Collectanea Mathematica
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If every member of a class P of Banach spaces has a projectional resolution of the identity such that certain subspaces arising out of this resolution are also in the class P, then it is proved that every Banach space in P has a strong M-basis. Consequently, every weakly countably determined space, the dual of every Asplund space, every Banach space with an M-basis such that the dual unit ball is weak* angelic and every C(K) space for a Valdivia compact set K , has a strong M-basis. ...
On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
S. Troyanski (1971)
Studia Mathematica
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Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
A. Pełczyński, P. Wojtaszczyk (1971)
Studia Mathematica
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Some applications of p-summing operators to Banach space theory
Haskell Rosenthal (1976)
Studia Mathematica
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Solution to a problem of S. Rolewicz
V. Montesinos (1985)
Studia Mathematica
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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.