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Currently displaying 1 – 4 of 4

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Complementation in spaces of symmetric tensor products and polynomials

Fernando Blasco — 1997

Studia Mathematica

For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.

Complementation in spaces of symmetric tensor products and polynomials.

Fernando Blasco — 1996

Extracta Mathematicae

Our aim here is to announce some properties of complementation for spaces of symmetric tensor products and homogeneous continuous polynomials on a locally convex space E that have, in particular, consequences in the study of the property (BB)n,s recently introduced by Dineen [8].

Copies of l in tensor products.

Fernando Blasco — 2000

Extracta Mathematicae

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.

Quasinormable X-Kothe Echelon spaces.

FERNANDO BLASCO — 2000

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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