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Un Théorème de Transfert Pour la Propriété des Boules
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1987
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