2014•Journal of Spectral TheoryOpen access

Krein's trace theorem revisited

Denis Potapov, Fedor Anatol'evich Sukochev, Dmitriy Vladimirovich Zanin

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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 \sigma -finite von Neumann algebras \mathcal M of type II and unbounded perturbations from the predual of \mathcal M .

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

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

Key concepts: TRACE (psycholinguistics), Mathematical economics, Mathematics, Calculus (dental), Philosophy, Linguistics, Medicine, Dentistry

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