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  • The Aron-Berner extension, Goldstine's theorem and P-continuity
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Mathematische Nachrichten
    • Auteur: García González, Ricardo;González LLavona, José Luis;Jaramillo Aguado, Jesús Ángel
    • Résumé: In this paper we show that the Aron-Berner type extension of polynomials preserves the P-continuity property. To this end we introduce a new version of Goldstine's Theorem for locally complemented subspaces.
    • Mots-clés: Aron-Berner extension; P-continuity; Polynomials; Banach spaces
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:15863
    •  
    • style='list-style-image:none;'>Type: Artículo
    • Éditorial: Wiley-VCH Verlag Berlin
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 0025-584X
    • CDU: 517.5







    [Recurso visitado 18 veces]

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  • The Aron-Berner extension, Goldstine's theorem and P-continuity
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Mathematische Nachrichten
    • Auteur: García González, Ricardo;Jaramillo Aguado, Jesús Ángel;Llavona, José G.
    • Résumé: In this paper we show that the Aron-Berner type extension of polynomials preserves the P-continuity property. To this end we introduce a new version of Goldstine's Theorem for locally complemented subspaces.
    • Mots-clés: Aron-Berner extension, P-continuity, polynomials, Banach spaces
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:16211
    •  
    • style='list-style-image:none;'>Type: Artículo
    • Éditorial: Wiley-Blackwell
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 0025-584X
    • CDU: 517.98







    [Recurso visitado 12 veces]

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  • Quasi completely continuous multilinear operators
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Proceedings of the Royal Society of Edinburgh, Section A
    • Auteur: Peralta Pereira, Antonio Miguel;Villanueva Díez, Ignacio;Wright, J. D. Maitland;Ylinen, Kari
    • Résumé: We introduce the concept of quasi-completely continuous multilinear operators and use this concept to characterize, for a wide class of Banach spaces X1, …, Xk, the multilinear operators T : X1 × … × Xk → X with an X-valued Aron–Berner extension.
    • Mots-clés: Multilinear operator; Aron–Berner
    •  
    • extension; Quasi-completely continuous operators
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:12364
    • Type: Artículo
    • Éditorial: Cambridge University Press
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 1473-7124
    • CDU: 517.98







    [Recurso visitado 33 veces]

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  • Extension of multilinear operators on Banach spaces
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Extracta Mathematicae
    • Auteur: Cabello Sánchez, Félix;Garcia, R.;Villanueva Díez, Ignacio
    • Résumé: This paper considers the problem of extending multilinear forms on a Banach space X to a larger space Y containing it as a closed subspace. For instance, if X is a subspace of Y and X0 ! Y 0 extends linear forms, then the induced Nicodemi operators extend multilinear forms. It is shown that an extension operator X0 ! Y 0 exists if and only if X is locally complemented
    •  
    • in Y . Also, these extension operators preserve the symmetry if and only if X is regular. Finally, multlinear characterizations are obtained of some classical Banach space properties (Dunford-Pettis, etc.) related to weak compactness in terms of operators having Z-valued Aron-Berner extensions.
    • Mots-clés: Dunford-Pettis; Extending multilinear forms; Nicodemi operators; Extension operator; Locally complemented; Multlinear characterizations; Banach space properties; Weak compactness; Z-valued Aron-Berner extensions
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:11524
    • Type: Artículo
    • Éditorial: Universidad de Extremadura, Departamento de Matemáticas
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 0213-8743
    • CDU: 517







    [Recurso visitado 24 veces]

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  • The Aron-Berner extension for polynomials defined in the dual of a Banach space
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Publications of the Research Institute for Mathematical Sciences
    • Auteur: González LLavona, José Luis;Moraes, Luiza A.
    • Mots-clés: Homogeneous polynomials; Holomorphic functions; Weak star topology.
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:15976
    • Type: Artículo
    • Éditorial: European Mathematical Society
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 0034-5318
    • CDU: 517.5






    [Recurso visitado 8 veces]

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  • Completely continuous multilinear operators on C(K) spaces
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Proceedings of the American Mathematical Society
    • Auteur: Villanueva Díez, Ignacio
    • Mots-clés: C(K) spaces, Completely continuous, Multilinear operators, Aron-Berner extension
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:11422
    • Type: Artículo
    • Éditorial: America Mathematical Society
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 1088-6826
    • CDU: 517.98






    [Recurso visitado 6 veces]

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  • The bidual of the space of polynomials on a Banach space
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Mathematical Proceedings of the Cambridge Philosophical Society
    • Auteur: Jaramillo Aguado, Jesús Ángel;Prieto Yerro, M. Ángeles;Zalduendo, Ignacio
    • Mots-clés: Spaces of homogeneous polynomials; reflexivity; Borel transform; Aron-Berner extension map
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:16743
    • Type: Artículo
    • Éditorial: Cambridge Univ Press
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 0305-0041
    • CDU: 517.98






    [Recurso visitado 27 veces]

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  • Duality and reflexivity in spaces of polynomials
    OAI: open archives initiativeDocument Type: artículoCollection E-prints Collection: Institutionnelle E-prints Complutense Archives
    • Titre de la publication: Archiv der Mathematik
    • Auteur: Jaramillo Aguado, Jesús Ángel;Moraes, L.A.
    • Résumé: We first study the reflexivity of the space P(E-m,F) of continuous m-homogeneous polynomials between Banach spaces E and F. Then, in a more general way, we obtain conditions under which the spaces P(E-m,F)(n) and P(E-m",F") are canonically isomorphic.
    • Mots-clés: Weakly uniformly continuous on bounded subsets; norming points; integral polynomials; nuclear polynomials; Schauder
    •  
    • decomposition; space of all continuousm-homogeneous polynomials; space of holomorphic mappings of bounded type; mappingswhich are weakly uniform continuous on bounded subsets; reflexivity; reflexive;approximation property; compact-open topology; biduality; Q-reflexivity; Aron-Berner extension; Radon-Nikodým property
    • Matière: Matemáticas
    • OAI Identificateur: oai:www.ucm.es:16716
    • Type: Artículo
    • Éditorial: Birkhauser Verlag
    • Département: Fac. de CC. Matemáticas - Depto. de Análisis Matemático
    • ISSN: 0003-889X
    • CDU: 517.98







    [Recurso visitado 9 veces]

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