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Autor Cobos, Fernando |
Documentos disponibles escritos por este autor (121)
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We develop a method suitable for interpolation of uniformly absolutely continuous operators. We then apply this method to establishing compactness of operators and embeddings especially in the limiting situations, where the classical interpolati[...]texto impreso
Given an operator ideal J , the author describes the behaviour under interpolation of deviations of a linear operator T from the closed surjective hull of J and the closed injective hull of J . General results obtained in a collaboration with A.[...]texto impreso
We investigate limiting J-interpolation methods for general Banach couples, not necessarily ordered. We also show their relationship with the interpolation methods defined by the unit square.texto impreso
We 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 [...]texto impreso
Working 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 charact[...]texto impreso
Besoy, Blanca F. ; Cobos, Fernando | 2019We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with ? = 0, 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.texto impreso
Besoy, Blanca F. ; Cobos, Fernando | 2020We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with [?] = 0; 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.texto impreso
This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value p[...]texto impreso
Cobos, Fernando ; Fernández-Cabrera, Luz M. ; Manzano, Antonio ; Martínez, Antón | Heldermann Verlag | 2007Let 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[...]texto impreso
We investigate pointwise domination property in operator spaces generated by Lorentz sequence spacestexto impreso
We give a maximal description in the sense of Aronszajn-Gagliardo for the real method in the category of quasi-Banach spaces.texto impreso
We establish an estimate for the measure of non-compactness of an interpolated operator acting from a J-space into a K-space. Our result refers to general Banach N-tuples. We also derive estimates for entropy numbers if some of the N-tuples redu[...]texto impreso
We establish formulae for the measure of non-compactness of operators interpolated by limiting methods that come up by the choice ?=0 and ?=1 in the definition of the real method.texto impreso
The authors consider multiparameter scales of interpolation spaces and prove a general form of the Wolff reiteration theorem [cf. T. H. Wolff, Lecture Notes Math. 908, 199- 204 (1982)] for n- tuples of Banach spaces. The proof, based on the use [...]texto impreso
We give some new examples of bounded multilinear forms on th Hilbert spaces 2 and L2(0,?). We characterize those which are compact or Hilbert-Schmidt. In particular, we study m-linear forms (m ? 3) on 2 which can be regarded as the multilinear[...]