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A BANACH SPACE WHICH ADMITS NO CHAOTIC OPERATOR

Published online by Cambridge University Press:  09 April 2001

JOSÉ BONET ,
FÉLIX MARTÍNEZ-GIMÉNEZ  and
ALFREDO PERIS
JOSÉ BONET
Affiliation:
E.T.S. Arquitectura, Universidad Politécnica de Valencia, Departamento de Matemática Aplicada, E-46071 Valencia, Spain; e-mail: jbonet@mat.upv.es
FÉLIX MARTÍNEZ-GIMÉNEZ
Affiliation:
E.T.S.I. Agrónomos, Universidad Politécnica de Valencia, Departamento de Matemática Aplicada, E-46071 Valencia, Spain; e-mail: fmarting@mat.upv.es
ALFREDO PERIS
Affiliation:
E.T.S. Arquitectura, Universidad Politécnica de Valencia, Departamento de Matemática Aplicada, E-46071 Valencia, Spain; e-mail: aperis@mat.upv.es
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Abstract

The dual of a reflexive separable hereditarily indecomposable complex Banach space of Gowers and Maurey admits no chaotic continuous linear operator in the sense of Devaney defined on it.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 2 , March 2001 , pp. 196 - 198
Copyright
© The London Mathematical Society 2001

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Footnotes

This research was partially supported by DGESIC Project no. PB97-0333.