Person:
Cobos Díaz, Fernando

Profile Picture
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
Identifiers
UCM identifierScopus Author IDDialnet ID

Filters

19996
Reset filters

Settings

Author: Martínez, Antón × End date: 1999 × Start date: 1999 × Has files: true ×

Search Results

Now showing 1 - 6 of 6
  • Thumbnail Image
    Item
    On duality between K- and J-spaces
    (Proceedings of the Edinburgh Mathematical Society, 1999) Cobos Díaz, Fernando; Fernández-Martínez, Pedro; Martínez, Antón; Raynaud, Yves
    We study the relationship between the dual of the #C-space defined by means of a polygon and the /-space generated by the dual N-tuple. The results complete the research started in [4]. Special attention is paid to the case when the N-tuple is formed by Banach lattices
  • Thumbnail Image
    Item
    Quantitative Estimates for Interpolated Operators by Multidimensional Methods
    (Revista matemática complutense, 1999) Cobos Díaz, Fernando; Cordeiro, José María; Martínez, Antón
    We describe the behavior of ideal variations under interpolation methods associated to polygons.
  • Thumbnail Image
    Item
    Measure of non-compactness and interpolation methods associated to polygons
    (Glasgow Mathematical Journal, 1999) Cobos Díaz, Fernando; Fernández-Martínez, Pedro; Martínez, Antón
    We establish an estimate for the measure of non-compactness of an interpolated operator acting from a J-space into a K-space. Our result refers to general Banach N-tuples. We also derive estimates for entropy numbers if some of the N-tuples reduce to a single Banach space.
  • Thumbnail Image
    Item
    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.
  • Thumbnail Image
    Item
    On reiteration and the behaviour of weak compactness under certain interpolation methods
    (Collectanea mathematica, 1999) Cobos Díaz, Fernando; Fernández-Martínez, Pedro; Martínez, Antón
    This article deals with K- and J-spaces defined by means of polygons. First we establish some reiteration formulae involving the real method, and then we study the behaviour of weakly compact operators. We also show optimality of the weak compactness results.
  • Thumbnail Image
    Item
    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.