Titlebook: Index Theory Beyond the Fredholm Case; Alan Carey,Galina Levitina Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusi

DOLT

安定

Malfunction

Book 2022in‘s spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit comp

从属

Double Operator Integrals,In the present chapter we present the main technical tool of our approach: double operator integrals (DOIs). Double operator integrals are a tool for handling the differential calculus of multivariable functions of operators. This machinery is crucial in our approach and many aspects of the theory rely on this technique.

Odyssey

序曲

Examples,In this chapter we supplement the abstract discussion by several examples for which our general assumption holds and hence the results of Chap. ..

傀儡

https://doi.org/10.1007/978-3-031-19436-8Witten Index; Spectral Shift Function; Double Operator Integrals; Spectral Flow; Robbin-Salaman Theorem

透明

978-3-031-19435-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

令人作呕

scrutiny

Alan Carey,Galina LevitinaProvides an overview of double operator integrals‘emerging as a valuable tool in non-commutative analysis.Presents‘new material on a generalisation of the notion of spectral flow for non- Fredholm ope