Some Applications of the Spectral Shift Operator

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The recently introduced concept of a spectral shift operator is applied in several instances. Explicit applications include Krein's trace formula for pairs of self-adjoint operators, the Birman-Solomyak spectral averaging formula and its operator-valued extension, and an abstract approach to trace formulas based on perturbation theory and the theory of self-adjoint extensions of symmetric operators.
LaTeX, 27 pages

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Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/78300

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903186
 http://arxiv.org/abs/math/9903186

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arXiv