Displaying similar documents to “Some remarks on lifting of isomorphic properties to injective and projective tensor products.”

Some remarks on the equality W ( E , F * ) = K ( E , F * )

Giovanni Emmanuele (1998)

Archivum Mathematicum

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We show that the equality W ( E , F * ) = K ( E , F * ) is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product E ⊗ π F of two Banach spaces under some approximation property type assumptions.

Non-containment of l in projective tensor products of Banach spaces.

J. C. Díaz Alcaide (1990)

Revista Matemática de la Universidad Complutense de Madrid

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Two properties on projective tensor products are introduced and briefly studied. We apply them to give sufficient conditions to assure the non-containment of l1 in a projective tensor product of Banach spaces.

An approach to Schreier's space.

Jesús M. Fernández Castillo, Manuel González (1991)

Extracta Mathematicae

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In 1930, J. Schreier [10] introduced the notion of admissibility in order to show that the now called weak-Banach-Saks property does not hold in every Banach space. A variation of this idea produced the Schreier's space (see [1],[2]). This is the space obtained by completion of the space of finite sequences with respect to the following norm: ||x||S = sup(A admissible) ∑j ∈ A |xj|, ...