Person: Cobos Díaz, Fernando
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First Name
Fernando
Last Name
Cobos Díaz
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
Identifiers
9 results
Search Results
Now showing 1 - 9 of 9
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 Function Spaces by Methods Defined by Means of Polygons(Journal of Approximation Theory, 2005) Cobos Díaz, Fernando; Martín, JoaquimWe describe the spaces obtained by applying the interpolation methods associated to polygons to N-tuples of weighted Lp-spaces, N-tuples of classical Lorentz spaces and some other N-tuples of function spaces.Item On interpolation of strictly singular operators, strictly co-singular operators and related operator ideals(Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000) Cobos Díaz, Fernando; Manzano, A.; Martínez, Antón; Matos, P.We improve the known results on interpolation of strictly singular operators and strictly co-singular operators in several directions. Applications are given to embeddings between symmetric spaces.Item Real Interpolation and Closed Operator Ideals(Journal de Mathématiques Pures et Appliquées, 2004) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Manzano, Antonio; Martínez, AntónWe investigate the behaviour by general J- and K-methods of certain closed operator ideals. In particular, the results apply to weakly compact operators, Rosenthal operators and Banach–Saks operators.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 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.Item Limiting real interpolation methods for arbitrary Banach couples(Studia Mathematica, 2012) Cobos Díaz, Fernando; Segurado, AlbaWe study limiting K- and J-methods for arbitrary Banach couples. They are related by duality and they extend the methods already known in the ordered case. We investigate the behaviour of compact operators and we also discuss the representation of the methods by means of the corresponding dual functional. Finally, some examples of limiting function spaces are given.Item Lions-Peetre type compactness results for several Banach spaces(Mathematical Inequalities & Applications, 2004) Cobos Díaz, Fernando; Romero Medina, RaúlWorking with interpolation methods associated to polygons, a result of Cobos and Peetre guarantees that the interpolated operator is compact provided all but two restrictions of the operator (located in adjacent vertices) are compact. We characterize here those intermediate spaces that satisfy the conclusion of Cobos-Peetre result for all operators. We also establish some results on rank-one interpolation spaces.