Five basic lemmas for symmetric tensor products of normed spaces

Details Five basic lemmas for symmetric tensor products of normed spaces Five basic lemmas for symmetric tensor products of normed spaces

2011-05-18

arxiv.org/abs/1105.3746v1

Revista de la Uni\'on Matem\'atica Argentina Vol. 52, No. 2, 2011, 35--60

Mathematics

Functional Analysis

24 pages

Scientific paper

We give the symmetric version of five lemmas which are essential for the
theory of tensor products (and norms). These are: the approximation, extension,
embedding, density and local technique lemmas. Some application of these tools
to the metric theory of symmetric tensor products and to the theory of
polynomials ideals are given.

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