Pushnitski's $μ$-invariant and Schrödinger operators with embedded eigenvalues

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dc.creatorAzamov, Nurulla
dc.date2007-11-08
dc.date.accessioned2026-07-07T08:41:32Z
dc.date.available2026-07-07T08:41:32Z
dc.descriptionIn this note, under a certain assumption on an affine space of operators, which admit embedded eigenvalues, it is shown that the singular part of the spectral shift function of any pair of operators from this space is an integer-valued function. The proof uses a natural decomposition of Pushnitski's $μ$-invariant into "absolutely continuous" and "singular" parts. As a corollary, the Birman-Krein formula follows.
dc.descriptionLaTeX, 9 pages
dc.identifierhttps://arxiv.org/abs/0711.1190
dc.identifierhttp://arxiv.org/abs/0711.1190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141699
dc.subjectSpectral Theory
dc.subject47A55; 47A11
dc.titlePushnitski's $μ$-invariant and Schrödinger operators with embedded eigenvalues
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