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)

Abstract

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
JournalPositivity
Volume2
Issue number1
DOIs
Publication statusPublished - Mar 1998

Keywords

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

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