Singular spectral shift is additive

2010/08/17 by Nurulla Azamov, Azamov, Nurulla
Mathematics · Physics and Astronomy · #FOS: Mathematics #Functional Analysis (math.FA) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1008.2847

openalex publication_date 2010/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note it is shown that for trace-class perturbations of self-adjoint operators the singular part of the spectral shift function is additive.

Citations

• Infinitesimal spectral flow and scattering matrix

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