This is an announcement for the paper "Natural symmetric tensor norms" by Daniel Carando and Daniel Galicer.

Abstract: In the spirit of the work of Grothendieck, we introduce and study natural symmetric n-fold tensor norms. We prove that there are exactly six natural symmetric tensor norms for $n\ge 3$, a noteworthy difference with the 2-fold case in which there are four. Using a symmetric version of a result of Carne we also describe which natural symmetric tensor norms preserve Banach algebras.

Archive classification: math.FA

Mathematics Subject Classification: 46M05

Remarks: 11 pages

The source file(s), Natural22.tex: 42738 bytes, is(are) stored in gzipped form as 1002.3950.gz with size 12kb. The corresponding postcript file has gzipped size 84kb.

Submitted from: dgalicer@dm.uba.ar

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