Person: Fernández-Cabrera Marín, Luz María
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First Name
Luz María
Last Name
Fernández-Cabrera Marín
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Estudios estadísticos
Department
Análisis Matemático Matemática Aplicada
Area
Matemática Aplicada
Identifiers
10 results
Search Results
Now showing 1 - 10 of 10
Item Logarithmic Interpolation Spaces Between Quasi-Banach Spaces(Zeitschrift Fur Analysis Und Ihre Anwendungen, 2007) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Manzano, Antonio; Martinez, AntónLet A0 and A1 be quasi-Banach spaces with A0 ,! A1. By means of a direct approach, we show that the interpolation spaces on (A0;A1) generated by the function parameter tµ(1 + j log tj)¡b can be expressed in terms of classical real inter-polation spaces. Applications are given to Zygmund spaces Lp(log L)b(), Lorentz-Zygmund function spaces and operator spaces de¯ned by using approximation num- bers.Item 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, AntónWe 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.Item On interpolation of Asplund operators(Mathematische Zeitschrift, 2005) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Manzano, Antonio; Martínez, AntónWe study the interpolation properties of Asplund operators by the complex method, as well as by general J - and K-methods.Item 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, AntónWe 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.Item Compact operators between K - and J -spaces(Studia Mathematica, 2005) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, AntónThe 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.Item Complex Interpolation, Minimal Methods and Compact Operators(Mathematische Nachrichten, 2004) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, AntónWe 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.Item Indices defined by Interpolation Scales and Applications(Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004) Fernández-Cabrera Marín, Luz María; Cobos Díaz, Fernando; Hernández, Francisco L.; Sánchez, Víctor M.We study inclusion indices relative to an interpolation scale. Applications are given to several families of functions spaces.Item 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, AntónItem Abstract K and J Spaces and Measure of Non-Compactness(Mathematische Nachrichten, 2007) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, AntónWe 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.Item Abstract and Concrete Logarithmic Interpolation Spaces(Journal of the London Mathematical Society. Second Series, 2004) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Triebel, HansA procedure is given to reduce the interpolation spaces on an ordered pair generated by the function parameter tθ (1 + |log t|)−b to the classical real interpolation spaces. Applications are given for Lorentz–Zygmund function spaces, Besov spaces of generalized smoothness and Lorentz– Zygmund operator spaces.