Basic sequences and smooth norms in Banach spaces
Catherine Finet (1988)
Studia Mathematica
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Displaying similar documents to “On l^∞ subspaces of Banach spaces.”
Basic sequences and smooth norms in Banach spaces
Answer to a question by M. Feder about K(X,Y).
G. Emmanuele (1993)
Revista Matemática de la Universidad Complutense de Madrid
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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.
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...
Rotund and uniformly rotund Banach spaces.
V. Montesinos, J. R. Torregrosa (1991)
Collectanea Mathematica
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In this paper we prove that the geometrical notions of Rotundity and Uniform Rotundity of the norm in a Banach space are stable for the generalized Banach products.
On complementably universal Banach spaces
M. Kadec (1971)
Studia Mathematica
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Solution to a problem of S. Rolewicz
V. Montesinos (1985)
Studia Mathematica
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An isomorphic Banach-Stone theorem
Ehrhard Behrends, Michael Cambern (1988)
Studia Mathematica
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Separable quotients of Banach spaces.
Jorge Mújica (1997)
Revista Matemática de la Universidad Complutense de Madrid
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In this survey we show that the separable quotient problem for Banach spaces is equivalent to several other problems for Banach space theory. We give also several partial solutions to the problem.
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.
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.
Asymptotically isometric copies of c and l in quotients of Banach spaces.
Chen Dongyang (2004)
Collectanea Mathematica
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Let X be a real Banach space that does not contain a copy of l. Then X* contains asymptotically isometric copies of l if and only if X has a quotient which is asymptotically isometric to c.