Abstract of a paper by Daniel Carando and Daniel Galicer
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1002.3950 or http://arXiv.org/abs/1002.3950 or by email in unzipped form by transmitting an empty message with subject line uget 1002.3950 or in gzipped form by using subject line get 1002.3950 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu