P. Fernández-Martínez (2003)
Bollettino dell'Unione Matematica Italiana
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We study interpolation of bilinear operators by the polygons methods. We prove an interpolation theorem of type into spaces, and show the optimality of the precedings results.
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.
D. Staszak (1992)
Collectanea Mathematica
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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.
L. Maligranda, L. E. Persson (1993)
Collectanea Mathematica
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Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P can be described by one Carlson type inequality and that the wider class P can be characterized by another Carlson type inequality with blocks.
Jan Gustavsson (1982)
Studia Mathematica
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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.
María J. Carro (1994)
Collectanea Mathematica
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