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 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 On interpolation of weakly compact bilinear operators(Mathematische Nachrichten, 2022) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, AntónWe study the interpolation properties of weakly compact bilinear operators by the real method and also by the complex method. We also study the factorization property of weakly compact bilinear operators through reflexive Banach spaces.Item On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator(Journal of Mathematical Analysis and Applications, 2021) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, AntónWe complete the range of the parameters in the interpolation formula established by Mastyło and Silva for the measure of non-compactness of a bilinear operator interpolated by the real method.Item Compactness interpolation results for bilinear operators of convolution type and for operators of product type(Journal of Approximation Theory, 2022) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, AntónWe establish compactness interpolation results for bilinear operators of convolution type and for operators of product type among quasi-Banach spaces. We do not assume any auxiliary condition on the spaces.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 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 Interpolation of compact bilinear operators among quasi-Banach spaces and applications(Mathematische Nachrichten, 2018) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, AntónWe study the interpolation properties of compact bilinear operators by the general real method among quasi- Banach couples. As an application we show that commutators of Calderón-Zygmund bilinear operators S : Lp × Lq -? Lr are compact provided that 1/2 < r < 1, 1 < p, q < 8 and 1/p + 1/q = 1/r.