FA ] 1 0 Ja n 20 05 Dixmier Traces as Singular Symmetric Functionals and Applications to Measurable Operators

@inproceedings{Lord2008FA1,
  title={FA ] 1 0 Ja n 20 05 Dixmier Traces as Singular Symmetric Functionals and Applications to Measurable Operators},
  author={Steven Lord and Aleksandr Sedaev and Fyodor Sukochev},
  year={2008}
}
  • Steven Lord, Aleksandr Sedaev, Fyodor Sukochev
  • Published 2008
We unify various constructions and contribute to the theory of singular symmetric functionals on Marcinkiewicz function/operator spaces. This affords a new approach to the non-normal Dixmier and Connes-Dixmier traces (introduced by Dixmier and adapted to non-commutative geometry by Connes) living on a general Marcinkiewicz space associated with an arbitrary semifinite von Neumann algebra. The corollaries to our approach, stated in terms of the operator ideal L (which is a special example of an… CONTINUE READING
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