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DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS

Part of: Special classes of linear operators

Published online by Cambridge University Press:  01 February 2008

JOSÉ BONET ,
MIKAEL LINDSTRÖM  and
ELKE WOLF
JOSÉ BONET*
Affiliation:
Departamento de Matemática Aplicada and IMPA-UPV, Universidad Politécnica de Valencia, E-46071 Valencia, Spain (email: [email protected])
MIKAEL LINDSTRÖM
Affiliation:
Department of Mathematics, Abo Akademi University, FIN-20500 Abo, Finland (email: [email protected])
ELKE WOLF
Affiliation:
Institute of Mathematics, University of Paderborn, D-33095 Paderborn, Germany (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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We consider differences of composition operators between given weighted Banach spaces or Hv0 of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also study boundedness and compactness of the operators. Some examples illustrate our results.

Keywords

composition operatorsweighted Banach spaces of holomorphic functionscompact operatorsessential norm

MSC classification

Secondary: 47B33: Composition operators 47B38: Operators on function spaces (general)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 1 , February 2008 , pp. 9 - 20
Copyright
Copyright © 2008 Australian Mathematical Society

Footnotes

The research of J. Bonet was partially supported by MEC and FEDER project MTM2004-02262. The work of M. Lindström was partially supported by the Academy of Finland Project 205644.

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