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ArticleOriginal scientific text

Title

Interpolation of the measure of non-compactness by the real method

Authors 1, 2, 3

Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
  2. Departamento de Matemática Aplicada, Universidad de Murcia, Campus de Espinardo, 30071 Espinardo (Murcia), Spain
  3. Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Vigo, Lagoas-Marcosende, 36200 Vigo, Spain

Abstract

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.

Bibliography

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Studia Mathematica
1999/135/1
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Pages:
25-38
Main language of publication
English
Received
1997-07-14
Accepted
1998-11-23
Published
1999
Exact and natural sciences