Krein's trace theorem revisited

Denis Potapov; Fedor Sukochev; Dmitriy Zanin

doi:10.4171/jst/75

JournalsjstVol. 4, No. 2pp. 415–430

Krein's trace theorem revisited

Denis Potapov
University of New South Wales, Sydney, Australia
- MathSciNet
- zbMATH Open
Fedor Sukochev
University of New South Wales, Sydney, Australia
- MathSciNet
- zbMATH Open
Dmitriy Zanin
University of New South Wales, Sydney, Australia
- MathSciNet
- zbMATH Open

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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 $σ$ -finite von Neumann algebras $M$ of type II and unbounded perturbations from the predual of $M$ .

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