L-sets and the Pelczynski-Pitt theorem.
Jesús M. Fernández Castillo, Ricardo García (2005)
Extracta Mathematicae
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Displaying similar documents to “Banach spaces in which all multilinear forms are weakly sequentially continuous”
L-sets and the Pelczynski-Pitt theorem.
Compact polynomials between Banach spaces.
Raquel Gonzalo, Jesús Angel Jaramillo (1993)
Extracta Mathematicae
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An approach to Schreier's space.
Jesús M. Fernández Castillo, Manuel González (1991)
Extracta Mathematicae
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In 1930, J. Schreier [10] introduced the notion of admissibility in order to show that the now called weak-Banach-Saks property does not hold in every Banach space. A variation of this idea produced the Schreier's space (see [1],[2]). This is the space obtained by completion of the space of finite sequences with respect to the following norm: ||x||S = sup(A admissible) ∑j ∈ A |xj|, ...
On Banach spaces X such that L(Lp,X) = K(Lp,X).
Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
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Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces
M. Jimenéz Sevilla, Rafael Payá (1998)
Studia Mathematica
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For each natural number N, we give an example of a Banach space X such that the set of norm attaining N-linear forms is dense in the space of all continuous N-linear forms on X, but there are continuous (N+1)-linear forms on X which cannot be approximated by norm attaining (N+1)-linear forms. Actually,X is the canonical predual of a suitable Lorentz sequence space. We also get the analogous result for homogeneous polynomials.
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.
On Pelczynski's property (V*) in vector sequence spaces.
Fernando Bombal Gordón (1988)
Collectanea Mathematica
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On the Dunford-Pettis property in Banach spaces
J. M. F. Castillo, M. Gonzáles (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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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...