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Un Théorème de Transfert Pour la Propriété des Boules

Published online by Cambridge University Press:  20 November 2018

Robert Deville
Robert Deville*
Affiliation:
University of Alberta Edmonton, Alta T6G 2G1
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Abstract

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We show that, if X and Y are Banach spaces such that X has the Mazur's intersection property and such that there exists T, an operator from Y into X so that T* and T** are injective, then there exists on Y an equivalent norm which has the Mazur's intersection property.

We deduce from this result and from a result of M. Talagrand that there exists on the long James space J(η) an equivalent norm which has the Mazur's intersection property.

Keywords

46B20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 295 - 300
Copyright
Copyright © Canadian Mathematical Society 1987

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