Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions

DOI10.1007/s10688-017-0183-2OpenAlexW2619544489MaRDI QIDQ1695235

Vladimir V. Peller, Hagen Neidhardt, Mark M. Malamud

Publication date: 7 February 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07225

zbMATH Keywords

contractionspectral shift functiondissipative operatortrace formulaeoperator Lipschitz functionsperturbation determinant

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (5)

Functions of perturbed commuting dissipative operators ⋮ Absolute continuity of spectral shift ⋮ The Koplienko-Neidhardt trace formula for unitaries -- a new proof ⋮ On a trace formula for functions of noncommuting operators ⋮ Lifshitz-Kreĭn trace formula for Hirsch functional calculus on Banach spaces

Cites Work

• Krein's trace formula for unitary operators and operator Lipschitz functions
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices
• On a perturbation determinant for accumulative operators
• The range of a normal derivation
• Perturbation determinants for singular perturbations
• Trace formulas for additive and non-additive perturbations
• The Lifshitz–Krein trace formula and operator Lipschitz functions
• Operator Lipschitz functions
• CLASSES OF OPERATOR-SMOOTH FUNCTIONS. I. OPERATOR-LIPSCHITZ FUNCTIONS
• THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL
• Differentiability of functions of contractions
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