Koplienko spectral shift function on the unit circle

DOI10.1007/S00220-011-1338-2zbMath1236.47017OpenAlexW2054769763MaRDI QIDQ663294

Denis Potapov, Pheodor A. Sukochev

Publication date: 14 February 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-011-1338-2

zbMATH Keywords

spectral shift functionHilbert-Schmidt operatorstrace class operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (5)

Trace formulas for additive and non-additive perturbations ⋮ Spectral shift functions and Dirichlet-to-Neumann maps ⋮ Higher-order spectral shift for pairs of contractions via multiplicative path ⋮ Perturbation formulas for traces on normed ideals ⋮ The Koplienko-Neidhardt trace formula for unitaries -- a new proof

Cites Work

• Spectral shift function of higher order
• Spectral shift function, amazing and multifaceted
• An extension of the Koplienko--Neidhardt trace formulae
• On \(A\)-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory
• On fully operator Lipschitz functions
• On the Koplienko spectral shift function, I. Basics
• Spectral Shift Function and Hilbert-Schmidt Perturbation: Extensions of Some Work of L. S. Koplienko
• THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL
• Differentiability of functions of contractions
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