%0 Journal Article
%T Dixmier traces are weak$^*$ dense in the set of all fully symmetric traces
%A F. Sukochev
%A D. Zanin
%J Mathematics
%D 2014
%I arXiv
%X We extend Dixmier's construction of singular traces (see \cite{Dixmier}) to arbitrary fully symmetric operator ideals. In fact, we show that the set of Dixmier traces is weak$^*$ dense in the set of all fully symmetric traces (that is, those traces which respect Hardy-Littlewood submajorization). Our results complement and extend earlier work of Wodzicki \cite{Wodzicki}.
%U http://arxiv.org/abs/1403.4718v1