Person:
Cobos Díaz, Fernando

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First Name
Fernando
Last Name
Cobos Díaz
URI
https://hdl.handle.net/20.500.14352/75635
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
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UCM identifierScopus Author IDDialnet ID

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1994 - 19993
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End date: 1999 × Start date: 1990 × Has files: true × Subject: 519.6 ×

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Now showing 1 - 3 of 3
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    On interpolation of bilinear operators by methods associated to polygons
    (Bollettino della Unione Matematica Italiana, 1999) Cobos Díaz, Fernando; Cordeiro, José María; Martínez, Antón
    The authors investigate the behaviour of bilinear operators under interpolation by the methods associated to polygons. These methods, working with N-tuples (N _ 3) of Banach spaces instead of couples, were introduced by F. Cobos and J. Peetre [Proc. Lond. Math. Soc., III. Ser. 63, 371-400 (1991; Zbl 0727.46053)]. The main properties of methods defined by polygons are summarized and then a bilinear interpolation theorem for a combination of the K- and J-methods is established. Another bilinear interpolation theorem for the J-method is given and a counterexample shows that a similar result fails for the K-method. The final part contains an application to interpolation of operator spaces starting from Banach lattices.
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    A Duality Theorem for Interpolation Methods Associated to Polygons
    (Proceedings of the American Mathematical Society, 1994) Cobos Díaz, Fernando; Fernández Martínez, Pedro
    We investigate dual spaces of interpolation spaces defined by means of polygons. We first show that dual spaces may fail to be intermediate spaces with respect to the dual N-tuple, and then we prove that dual spaces of J-spaces can be identified with closed subspaces of K-spaces generated by the dual N-tuple.
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    Interpolation of the measure of non-compactness by the real method
    (Studia Mathematica, 1999) Cobos Díaz, Fernando; Fernández-Martínez, Pedro; Martínez, Antón
    We investigate the behaviour of the measure of Iron-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.