On \(A\)-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory
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Publication:1918241
DOI10.1215/S0012-7094-96-08322-2zbMath0876.47010MaRDI QIDQ1918241
Publication date: 13 October 1996
Published in: Duke Mathematical Journal (Search for Journal in Brave)
\(A\)-integraltrace formulaHilbert-Schmidt operatorLax-Phillips scattering theoryKolmogorov-Titchmarsh's sense
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Scattering theory of linear operators (47A40)
Related Items (6)
Trace formulas for additive and non-additive perturbations ⋮ Higher-order spectral shift for pairs of contractions via multiplicative path ⋮ Koplienko spectral shift function on the unit circle ⋮ On a perturbation determinant for accumulative operators ⋮ On a trace formula of the Buslaev–Faddeev type for a long-range potential ⋮ Necessary and sufficient conditions for absolute summability of the trace formulas for certain one dimensional Schrödinger operators
Cites Work
- Krein's spectral shift function and Fredholm determinants as efficient methods to study supersymmetric quantum mechanics
- The discrete and the singular spectrum in the trace formula for contracting and unitary operators
- Trace formula for nontrace-class perturbations
- Topological invariance of the Witten index
- Relative index theorems and supersymmetric scattering theory
- A function model and some problems in the spectral theory of functions
- On unitary couplings with losses (scattering theory with losses)
- Absolute summability of the trace relation for certain Schrödinger operators
- Dilation theory and spectral analysis of nonselfadjoint differential operators
- Trace formulae and inverse spectral theory for Schrödinger operators
- THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL
- On unitary couplings of semiunitary operators
- Convergence of Arguments of Blaschke Products in L p -Metrics
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