Symmetric functionals and singular traces

P. G. Dodds, B. De Pagter, E. M. Semenov, F. A. Sukochev

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)


We study the construction and properties of positive linear functionals on symmetric spaces of measurable functions which are monotone with respect to submajorization. The construction of such functionals may be lifted to yield the existence of singular traces on certain non-commutative Marcinkiewicz spaces which generalize the notion of Dixmier trace.

Original languageEnglish
Pages (from-to)47-75
Number of pages29
Issue number1
Publication statusPublished - Mar 1998


  • Marcinkiewicz space
  • Singular trace
  • Symmetric functional
  • Symmetric operator space

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