Interpolation of compact nonlinear operators.
Bento, A.J.G. (2000)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Interpolation theory and measures related to operator ideals”
Interpolation of compact nonlinear operators.
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...
Interpolation methods of means and orbits
Mieczysław Mastyło (2005)
Studia Mathematica
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Banach operator ideal properties of the inclusion maps between Banach sequence spaces are used to study interpolation of orbit spaces. Relationships between those spaces and the method-of-means spaces generated by couples of weighted Banach sequence spaces with the weights determined by concave functions and their Janson sequences are shown. As an application we obtain the description of interpolation orbits in couples of weighted -spaces when they are not described by the K-method....
Interpolation of compact operators by Goulaouic procedure
Fernando Cobos (1990)
Studia Mathematica
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Remarks on compact operators between interpolation spaces associated to polygons.
Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez (2006)
RACSAM
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This note deals with interpolation methods defined by means of polygons. We show necessary and sufficient conditions for compactness of operators acting from a J-space into a K-space.
On some Fréchet interpolation spaces.
Jesús M. Fernández Castillo (1991)
Extracta Mathematicae
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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.