JournalsjstVol. 4, No. 2pp. 415–430

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
Krein's trace theorem revisited cover
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Abstract

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

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