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Measure of non-compactness and interpolation methods associated to polygons

Published online by Cambridge University Press:  19 July 2001

FERNANDO COBOS ,
PEDRO FERNÁNDEZ-MARTÍNEZ  and
ANTÓN MARTÍNEZ
FERNANDO COBOS
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain; e-mail: cobos@eucmax.sim.ucm.es
PEDRO FERNÁNDEZ-MARTÍNEZ
Affiliation:
Departamento de Matemática Aplicada, Facultad de Informática, Universidad de Murcia, Campus de Espinardo, 30071 Espinardo (Murcia), Spain; e-mail: pedrofdz@fcu.um.es
ANTÓN MARTÍNEZ
Affiliation:
Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Vigo, Lagoas-Marcosende, 36200 Vigo, Spain; e-mail: antonmar@uvigo.es
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Abstract

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We establish an estimate for the measure of non-compactness of an interpolated operator acting from a J-space into a K-space. Our result refers to general Banach N-tuples. We also derive estimates for entropy numbers if some of the N-tuples reduce to a single Banach space.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 1 , March 1999 , pp. 65 - 79
Copyright
1999 Glasgow Mathematical Journal Trust