English

The spectral flow, the Fredholm index, and the spectral shift function

Spectral Theory 2007-11-02 v1 Functional Analysis

Abstract

We discuss the well known ``Fredholm index=spectral flow'' theorem and show that it can be interpreted as a limit case of an identity involving two spectral shift functions.

Cite

@article{arxiv.0711.0089,
  title  = {The spectral flow, the Fredholm index, and the spectral shift function},
  author = {Alexander Pushnitski},
  journal= {arXiv preprint arXiv:0711.0089},
  year   = {2007}
}

Comments

Submitted to M.Sh.Birman's 80th birthday issue of Trans. AMS

R2 v1 2026-06-21T09:38:43.725Z