Interpolation of compact operators by Goulaouic procedure
Fernando Cobos (1990)
Studia Mathematica
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Fernando Cobos (1990)
Studia Mathematica
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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.
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.
D. Staszak (1992)
Collectanea Mathematica
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Andreas Defant, Mieczyslaw Mastylo, Carsten Michels (2003)
RACSAM
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For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.
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...
Mieczysław Mastylo (1991)
Studia Mathematica
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Pustylnik, Evgeniy (1996)
Abstract and Applied Analysis
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S. Hartman (1968)
Colloquium Mathematicae
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Branga, Adrian (1998)
General Mathematics
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Ljubiša M. Kocić, Alba Chiara Simoncelli (2000)
Visual Mathematics
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