The Spectral Shift Operator

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We introduce the concept of a spectral shift operator and use it to derive Krein's spectral shift function for pairs of self-adjoint operators. Our principal tools are operator-valued Herglotz functions and their logarithms. Applications to Krein's trace formula and to the Birman-Solomyak spectral averaging formula are discussed.
LaTeX, 28 pages

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Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/78000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901112
 http://arxiv.org/abs/math/9901112

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arXiv