Near smoothness of Banach spaces.
Józef Banas, Kishin Sadarangani (1995)
Collectanea Mathematica
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The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces.
Displaying similar documents to “Rotund and uniformly rotund Banach spaces.”
Near smoothness of Banach spaces.
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Catherine Finet (1988)
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A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces
G. Androulakis (1998)
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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...
Answer to a question by M. Feder about K(X,Y).
G. Emmanuele (1993)
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We show that a Banach space constructed by Bourgain-Delbaen in 1980 answers a question put by Feder in 1982 about spaces of compact operators.
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D. Kutzarova, S. Troyanski (1982)
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Representative subalgebra of a complete ultrametric Hopf algebra
Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
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On l^∞ subspaces of Banach spaces.
Patrick N. Dowling (2000)
Collectanea Mathematica
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We obtain refinement of a result of Partington on Banach spaces containing isomorphic copies of l-∞. Motivated by this result, we prove that Banach spaces containing asymptotically isometric copies of l-∞ must contain isometric copies of l-∞.
Effective constructions of separable quotients of Banach spaces.
Marek Wójtowicz (1997)
Collectanea Mathematica
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A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Banach spaces is presented. A large class of Banach lattices, possessing as a quotient c0, l1, l2, or a reflexive Banach space with an unconditional Schauder basis, is indicated.