Person:
Fernández-Cabrera Marín, Luz María

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First Name
Luz María
Last Name
Fernández-Cabrera Marín
URI
https://hdl.handle.net/20.500.14352/77451
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Estudios estadísticos
Department
Análisis Matemático Matemática Aplicada
Area
Matemática Aplicada
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2004 - 20077
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Author: Martínez, Antón × End date: 2009 ×

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Now showing 1 - 7 of 7
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    Compact operators between K - and J -spaces
    (Studia Mathematica, 2005) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    The paper establishes necessary and sufficient conditions for compactness of operators acting between general K -spaces, general J -spaces and operators acting from a J -space into a K -space. Applications to interpolation of compact operators are also given.
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    Complex Interpolation, Minimal Methods and Compact Operators
    (Mathematische Nachrichten, 2004) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We characterize compact operators between complex interpolation spaces and between spaces obtained by using certain minimal methods in the sense of Aronszajn and Gagliardo. Applications to interpolation of compact operators are also given.
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    Inclusion indices of Quasi-Banach Spaces
    (Bollettino della Unione Matematica Italiana. Sezione B: articoli di Bollettino dell unione matematica italiana. Sezione B: articoli di ricerca matematica, 2007) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Manzano Rodríguez, Antonio; Martínez, Antón
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    Abstract K and J Spaces and Measure of Non-Compactness
    (Mathematische Nachrichten, 2007) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We establish a formula for the measure of non-compactness of an operator interpolated by the general real method generated by a sequence lattice Γ. The formula is given in terms of the norms of the shift operators in Γ.
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    On interpolation of Banach algebras and factorization of weakly compact homomorphisms
    (Bulletin des Sciences Mathematiques, 2006) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We show a necessary and sufficient condition on the lattice Γ for the general real method (· , ·)Γ to preserve the Banach-algebra structure. As an application we derive factorization of weakly compact homomorphisms through interpolation properties of weakly compact operators.
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    On interpolation of Asplund operators
    (Mathematische Zeitschrift, 2005) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Manzano, Antonio; Martínez, Antón
    We study the interpolation properties of Asplund operators by the complex method, as well as by general J - and K-methods.
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    On interpolation of the measure of noncompactness
    (Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2006) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method.