Spectral Shift Function and Hilbert-Schmidt Perturbation: Extensions of Some Work of L. S. Koplienko

DOI10.1002/mana.19881380102zbMath0674.47003OpenAlexW2093403648MaRDI QIDQ3828548

Hagen Neidhardt

Publication date: 1988

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19881380102

zbMATH Keywords

trace formulaHilbert- Schmidt operatorsexistence of generalized spectral shift function

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (12)

Trace formulas for additive and non-additive perturbations ⋮ Estimates and trace formulas for unitary and resolvent comparable perturbations ⋮ Spectral shift for relative Schatten class perturbations ⋮ Higher-order spectral shift for pairs of contractions via multiplicative path ⋮ Perturbation formulas for traces on normed ideals ⋮ Koplienko spectral shift function on the unit circle ⋮ Trace formulas for resolvent comparable operators ⋮ The Koplienko-Neidhardt trace formula for unitaries -- a new proof ⋮ Trace formulas for relative Schatten class perturbations ⋮ Functions of operators under perturbations of class \(S_p\) ⋮ An extension of the Koplienko--Neidhardt trace formulae ⋮ Functions of unitary operators: derivatives and trace formulas

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