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

2007/11/01 by Alexander Pushnitski, Pushnitski, Alexander
Chemistry · Computer Science · #47A53 #47A55 #FOS: Mathematics #Functional Analysis (math.FA) #Molecular spectroscopy and chirality #Nonlinear Dynamics and Pattern Formation #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.0711.0089

openalex publication_date 2007/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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