%0 Journal Article
%T Natural symmetric tensor norms
%A Daniel Carando
%A Daniel Galicer
%J Mathematics
%D 2010
%I arXiv
%R 10.1016/j.jmaa.2011.09.027
%X 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. We also describe the polynomial ideals associated to these natural symmetric tensor norms. Using a symmetric version of a result of Carne, we establish which natural symmetric tensor norms preserve Banach algebras.
%U http://arxiv.org/abs/1002.3950v4