The Spectral Shift Function

Authors

Alan Carey, University of Wollongong
Galina Levitina, The Australian National University

Publication Name

Lecture Notes in Mathematics

Abstract

As we noted in the introduction the underlying philosophy is that to go beyond the Fredholm case we need a new perspective on index theory. As the spectral shift function calculates spectral flow in the Fredholm case, we regard it as the natural generalisation of spectral flow to the non-Fredholm case because it remains defined without Fredholm assumptions. In this chapter we introduce the spectral shift function and some of its history.

Open Access Status

This publication is not available as open access

Volume

2323

First Page

63

Last Page

92