Displaying similar documents to “Remarks on compact operators between interpolation spaces associated to polygons.”

Interpolation of the measure of non-compactness by the real method

Fernando Cobos, Pedro Fernández-Martínez, Antón Martínez (1999)

Studia Mathematica

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We investigate the behaviour of the measure of non-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.

On interpolation of bilinear operators by methods associated to polygons

Fernando Cobos, José María Cordeiro, Antón Martínez (1999)

Bollettino dell'Unione Matematica Italiana

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Stabiliamo teoremi di interpolazione bilineare per una combinazione dei metodi di K - e J -interpolazione associati ai poligoni, e per il J -metodo. Mostriamo che un simile risultato fallisce per il K -metodo, e diamo applicazioni all'interpolazione di spazi di operatori.

Real interpolation and compactness.

Fernando Cobos Díaz (1989)

Revista Matemática de la Universidad Complutense de Madrid

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The behavior of compactness under real interpolation real is discussed. Classical results due to Krasnoselskii, Lions-Peetre, Persson, and Hayakawa are described, as well as others obtained very recently by Edmunds, Potter, Fernández, and the author.

A commutator theorem with applications.

Mario Milman (1993)

Collectanea Mathematica

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We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation...

Corrigendum on the paper .

Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez (2007)

RACSAM

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Here are given the figures of this paper, initially published with some omissions.

On the relation between complex and real methods of interpolation

Mieczysław Mastyło, Vladimir Ovchinnikov (1997)

Studia Mathematica

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We study those compatible couples of Banach spaces for which the complex method interpolation spaces are also described by the K-method of interpolation. As an application we present counter-examples to Cwikel's conjecture that all interpolation spaces of a Banach couple are described by the K-method whenever all complex interpolation spaces have this property.