On the structure of tensor products of l_p spaces

Details On the structure of tensor products of l_p spaces On the structure of tensor products of l_p spaces

1994-02-08

arxiv.org/abs/math/9402205v1

Mathematics

Functional Analysis

Scientific paper

We examine some structural properties of (injective and projective) tensor products of $\ell_p$-spaces (projections, complemented subspaces, reflexivity, isomorphisms, etc.). We combine these results with combinatorial arguments to address the question of primarity for these spaces and their duals. Our main results are: \medbreak \item{(1)} If $1

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