THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL

DOI10.1070/SM1995v083n01ABEH003589zbMath0852.47004OpenAlexW2014932859MaRDI QIDQ4863186

A. V. Rybkin

Publication date: 16 June 1996

Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1995v083n01abeh003589

zbMATH Keywords

contractionbounded variationtrace formulasingular spectrumspectral shift distributiontrace class perturbation of a unitary operator

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) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

Trace formulas for additive and non-additive perturbations ⋮ On \(A\)-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory ⋮ Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions ⋮ Higher-order spectral shift for pairs of contractions via multiplicative path ⋮ Absolute continuity of spectral shift ⋮ Koplienko spectral shift function on the unit circle ⋮ On a perturbation determinant for accumulative operators ⋮ An extension of the Koplienko--Neidhardt trace formulae ⋮ Perturbation determinants for singular perturbations

This page was built for publication: THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL