Krein's trace theorem revisited

  • Denis Potapov

    University of New South Wales, Sydney, Australia
  • Fedor Sukochev

    University of New South Wales, Sydney, Australia
  • Dmitriy Zanin

    University of New South Wales, Sydney, Australia

Abstract

We supply the new proof of Krein's Trace Theorem which does not use complex analysis. Our proof holds for -finite von Neumann algebras of type II and unbounded perturbations from the predual of .

Cite this article

Denis Potapov, Fedor Sukochev, Dmitriy Zanin, Krein's trace theorem revisited. J. Spectr. Theory 4 (2014), no. 2, pp. 415–430

DOI 10.4171/JST/75