Geometric properties related to the fixed point property in Banach spaces.
Helga Fetter, Berta Gamboa De Buen (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Displaying similar documents to “σ-fragmented Banach spaces II”
Geometric properties related to the fixed point property in Banach spaces.
Algebras of real analytic functions: Homomorphisms and bounding sets
Peter Biström, Jesús Jaramillo, Mikael Lindström (1995)
Studia Mathematica
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This article deals with bounding sets in real Banach spaces E with respect to the functions in A(E), the algebra of real analytic functions on E, as well as to various subalgebras of A(E). These bounding sets are shown to be relatively weakly compact and the question whether they are always relatively compact in the norm topology is reduced to the study of the action on the set of unit vectors in of the corresponding functions in . These results are achieved by studying the homomorphisms...
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.
On Pelczynski's property (V*) in vector sequence spaces.
Fernando Bombal Gordón (1988)
Collectanea Mathematica
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On spreading -sequences in Banach spaces
Vassiliki Farmaki (1999)
Studia Mathematica
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We introduce and study the spreading-(s) and the spreading-(u) property of a Banach space and their relations. A space has the spreading-(s) property if every normalized weakly null sequence has a subsequence with a spreading model equivalent to the usual basis of ; while it has the spreading-(u) property if every weak Cauchy and non-weakly convergent sequence has a convex block subsequence with a spreading model equivalent to the summing basis of . The main results proved are the...
On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
S. Troyanski (1971)
Studia Mathematica
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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...
The heredity problem for weakly compactly generated Banach spaces
Haskell P. Rosenthal (1974)
Compositio Mathematica
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Eberlein compacts in
Jürgen Batt, Georg Schlüchtermann (1986)
Studia Mathematica
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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.