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Inclusion indices of function spaces and applications

Published online by Cambridge University Press:  21 April 2004

LUZ M. FERNÁNDEZ–CABRERA
LUZ M. FERNÁNDEZ–CABRERA
Affiliation:
Departamento de Matemática Aplicada, Escuela de Estadística, Universidad Complutense de Madrid, 28040 Madrid. Spain. e-mail: luz_fernandez-c@mat.ucm.es
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Abstract

We investigate inclusion indices for general function spaces, not necessarily symmetric. Using them, we estimate the grade of proximity between two spaces $E\,{\hookrightarrow}\, F$ when we have certain information on the inclusion. The results are based on ideas from interpolation theory.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 3 , May 2004 , pp. 665 - 674
Copyright
2004 Cambridge Philosophical Society

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