The Spectral Shift Function
Lecture Notes in Mathematics
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.
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