Displaying similar documents to “The symmetric tensor product of a direct sum of locally convex spaces”

Copies of l in tensor products.

Fernando Blasco (2000)

Extracta Mathematicae

Similarity:

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.

Complementation in spaces of symmetric tensor products and polynomials.

Fernando Blasco (1996)

Extracta Mathematicae

Similarity:

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].

Some Grothendieck's problems in the context of the α-tensor products.

Juan A. López Molina, María José Rivera Ortún (1990)

Extracta Mathematicae

Similarity:

The positive and negative results related to the problem of topologies of Grothendieck [2] have given many information on the projective and injective tensor products of Fréchet and DF-spaces. The purpose of this paper is to give some results about analogous questions in αpq-Lapresté's tensor products [4, chapitre 1] and in spaces of dominated operators Pietsch [5] for a class of Fréchet spaces having a certain kind of decomposition studied dy Bonet and Díaz [1] called...