Embedding functions and their role in interpolation theory.
Pustylnik, Evgeniy (1996)
Abstract and Applied Analysis
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Pustylnik, Evgeniy (1996)
Abstract and Applied Analysis
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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.
Ball, Joseph A., Bolotnikov, Vladimir (2005)
The New York Journal of Mathematics [electronic only]
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Maria Carro (1994)
Studia Mathematica
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We develop a new method of real interpolation for infinite families of Banach spaces that covers the methods of Lions-Peetre, Sparr for N spaces, Fernández for spaces and the recent method of Cobos-Peetre.
S. Hartman (1968)
Colloquium Mathematicae
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R. Taberski (1972)
Colloquium Mathematicae
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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.
R. Taberski (1971)
Colloquium Mathematicae
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R. Taberski (1974)
Colloquium Mathematicae
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Milman, Mario (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Mieczysław Mastylo (1991)
Studia Mathematica
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Šolín, Pavel, Segeth, Karel
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Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects....