Spectral averaging for trace compatible operators

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dc.creatorAzamov, Nurulla
dc.creatorSukochev, Fyodor
dc.date2007-04-13
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:09:13Z
dc.date.available2026-07-07T08:09:13Z
dc.descriptionIn this note the notions of trace compatible operators and infinitesimal spectral flow are introduced. We define the spectral shift function as the integral of infinitesimal spectral flow. It is proved that the spectral shift function thus defined is absolutely continuous and Krein's formula is established. Some examples of trace compatible affine spaces of operators are given.
dc.description10 pages, LaTeX; a gap in the proof of Proposition 2.4 has been fixed
dc.identifierhttps://arxiv.org/abs/0704.1683
dc.identifierhttp://arxiv.org/abs/0704.1683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131474
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subject47A11; 47A55
dc.titleSpectral averaging for trace compatible operators
dc.typetext

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