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

zbMath1168.47010arXiv0711.0089MaRDI QIDQ3616114

Alexander Pushnitski

Publication date: 24 March 2009

Full work available at URL: https://arxiv.org/abs/0711.0089

zbMATH Keywords

spectrumFredholm operatorspectral shift functionselfadjoint operatortrace class operatorFredholm index

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (11)

Trace formulas for additive and non-additive perturbations ⋮ Trace formulas for a class of non-Fredholm operators: A review ⋮ The Spectral Shift Function and the Witten Index ⋮ Spectral shift functions and Dirichlet-to-Neumann maps ⋮ On the Witten index in terms of spectral shift functions ⋮ The Witten index and the spectral shift function ⋮ On the index of a non-Fredholm model operator ⋮ On a spectral flow formula for the homological index ⋮ A Jost-Pais-type reduction of Fredholm determinants and some applications ⋮ The index formula and the spectral shift function for relatively trace class perturbations ⋮ The bulk-edge correspondence for continuous dislocated systems

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