Geodesic
Un Théorème de Transfert Pour la Propriété des Boules
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 295-300

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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.
DOI : 10.4153/CMB-1987-042-4
Mots-clés : 46B20 
Deville, Robert. Un Théorème de Transfert Pour la Propriété des Boules. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 295-300. doi: 10.4153/CMB-1987-042-4
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