Displaying similar documents to “About certain isomorphic properties of Banach spaces in projective tensor products.”

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.

Dunford-Pettis-like properties of projective and natural tensor product spaces.

Jesús M. Fernández Castillo, Juan A. López Molina (1993)

Revista Matemática de la Universidad Complutense de Madrid

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Several properties of weakly p-summable sequences and of the scale of p-converging operators (i.e., operators transforming weakly p-summable sequences into convergent sequences) in projective and natural tensor products with an lp space are considered. The last section studies the Dunford-Pettis property of order p (i.e., every weakly compact operator is p-convergent) in those spaces.

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.

Copies of l in tensor products.

Fernando Blasco (2000)

Extracta Mathematicae

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The problem of finding complemented copies of l in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of l in an n-fold tensor product of l spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.