Información del autor
Autor Martínez, Antón |
Documentos disponibles escritos por este autor (26)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
Cobos, Fernando ; Fernández-Cabrera, Luz M. ; Martínez, Antón | Gauthier-Villars/Editions Elsevier | 2006We show a necessary and sufficient condition on the lattice ? for the general real method (· , ·)? to preserve the Banach-algebra structure. As an application we derive factorization of weakly compact homomorphisms through interpolation properti[...]texto impreso
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 [P[...]texto impreso
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.texto impreso
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.texto impreso
We show abstract versions for Banach couples of several limiting compact interpolation theorems established by Edmunds and Opic for couples of Lp spaces.texto impreso
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 compac[...]texto impreso
We describe the behavior of ideal variations under interpolation methods associated to polygons.texto impreso
We 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.texto impreso
Cobos, Fernando ; Fernández-Cabrera, Luz M. ; Martínez, Antón | Real Academia Ciencias Exactas Físicas Y Naturales | 2006This note deals with interpolation methods dened by means of polygons. We show necessary and sufcient conditions for compactness of operators acting from a J-space into a K-space.texto impreso
We estimate the ideal measure of certain interpolated operators in terms of the measure of their restrictions to the intersection. The dual situation is also studied.: Special attention is paid to the ideal of weakly compact operators.texto impreso
Cobos, Fernando ; Fernández-Cabrera, Luz M. ; Martínez, Antón ; Pustylnik, Evgeniy | Cambridge University Press | 2002We show that certain interpolation results for compact operators established by Cobos and co-workers cannot be extended to general closed operator ideals. We shall also characterize compactness of an embedding in terms of functions related to th[...]