The Spectral Shift Operator

Fritz Gesztesy; Konstantin A. Makarov; Serguei N. Naboko

The Spectral Shift Operator

谱理论 2007-05-23 v1

作者: Fritz Gesztesy , Konstantin A. Makarov , Serguei N. Naboko

摘要

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.

关键词

spectral theory

引用

@article{arxiv.math/9901112,
  title  = {The Spectral Shift Operator},
  author = {Fritz Gesztesy and Konstantin A. Makarov and Serguei N. Naboko},
  journal= {arXiv preprint arXiv:math/9901112},
  year   = {2007}
}

备注

LaTeX, 28 pages

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