Operator integrals, spectral shift and spectral flow

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dc.creatorAzamov, N. A.
dc.creatorCarey, A. L.
dc.creatorDodds, P. G.
dc.creatorSukochev, F. A.
dc.date2007-03-14
dc.date.accessioned2026-07-07T07:52:06Z
dc.date.available2026-07-07T07:52:06Z
dc.descriptionWe present a new and simple approach to the theory of multiple operator integrals that applies to unbounded operators affiliated with general von Neumann algebras. For semifinite von Neumann algebras we give applications to the Fréchet differentiation of operator functions that sharpen existing results, and establish the Birman-Solomyak representation of the spectral shift function of M.G. Krein in terms of an average of spectral measures in the type II setting. We also exhibit a surprising connection between the spectral shift function and spectral flow.
dc.descriptionTo appear in Canadian Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0703442
dc.identifierhttp://arxiv.org/abs/math/0703442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125754
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47A56; 47B49
dc.titleOperator integrals, spectral shift and spectral flow
dc.typetext

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