Spectral averaging for trace compatible operators

DOI10.1090/S0002-9939-08-09210-1zbMath1156.47002arXiv0704.1683MaRDI QIDQ5448941

Nurulla A. Azamov, Pheodor A. Sukochev

Publication date: 10 March 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1683

zbMATH Keywords

spectral shift functionsemifinite von Neumann algebraspectral averaginginfinitesimal spectral flowtrace compatible operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Local spectral properties of linear operators (47A11)

Related Items

Trace formulas for additive and non-additive perturbations

Cites Work

• Remarks on the spectral shift function
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Spectral shift function, amazing and multifaceted
• The spectral shift function and spectral flow
• The Krein spectral shift function in semifinite von Neumann algebras
• Operator Integrals, Spectral Shift, and Spectral Flow
• Unbounded Fredholm Modules and Spectral Flow
• Spectral averaging and the Krein spectral shift
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