On Pelczynski's property (V*) in vector sequence spaces.
Fernando Bombal Gordón (1988)
Collectanea Mathematica
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Displaying similar documents to “Algebras of real analytic functions: Homomorphisms and bounding sets”
On Pelczynski's property (V*) in vector sequence spaces.
Algebras of real analytic functions; homorphisms and bounding sets.
P. Biström, J. A. Jaramillo, M. Lindström (1993)
Extracta Mathematicae
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In this paper weare interested in subsets of a real Banach space on which different classes of functions are bounded.
Polynomials and geometry of Banach spaces.
Joaquín M. Gutiérrez, Jesús A. Jaramillo, José G. Llavona (1995)
Extracta Mathematicae
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In this paper we survey a large part of the results on polynomials on Banach spaces that have been obtained in recent years. We mainly look at how the polynomials behave in connection with certain geometric properties of the spaces.
σ-fragmented Banach spaces II
J. Jayne, I. Namioka, C. Rogers (1994)
Studia Mathematica
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Recent papers have investigated the properties of σ-fragmented Banach spaces and have sought to find which Banach spaces are σ-fragmented and which are not. Banach spaces that have a norming M-basis are shown to be σ-fragmented using weakly closed sets. Zizler has shown that Banach spaces satisfying certain conditions have locally uniformly convex norms. Banach spaces that satisfy similar, but weaker conditions are shown to be σ-fragmented. An example, due to R. Pol, is given of a Banach...
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...
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...
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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Unconditionally convergent polynomials in Banach spaces and related properties.
M.ª Teresa Fernández Unzueta (1997)
Extracta Mathematicae
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Our aim is to introduce a new notion of unconditionallity, in the context of polynomials in Banach spaces, that looks directly to the polynomial topology defined on the involved spaces. This notion allows us to generalize some well-known relations of duality that appear in the linear context.
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.