Krein's trace theorem revisited

DOI10.4171/JST/75zbMath1328.47022arXiv1701.00697MaRDI QIDQ402290

Dmitriy Zanin, Denis Potapov, Pheodor A. Sukochev

Publication date: 27 August 2014

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00697

zbMATH Keywords

double operator integralsLifshits-Krein trace formulaKrein spectral shift functionsemifinite von Neumann algebra of type II

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functional calculus for linear operators (47A60) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (5)

\(L_p\)-bounds for the Krein spectral shift function: \(0<p<\infty\) ⋮ The Spectral Shift Function and the Witten Index ⋮ Singular bilinear integrals in quantum physics ⋮ Absolute continuity of spectral shift ⋮ On a trace formula for functions of noncommuting operators

Cites Work

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• Spectral shift function, amazing and multifaceted
• The Krein spectral shift function in semifinite von Neumann algebras
• \(C^*\)-algebras by example

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