An optimal \(L^p\)-bound on the Krein spectral shift function.
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Publication:1809912
DOI10.1007/BF02868474zbMath1054.47020OpenAlexW2018587388MaRDI QIDQ1809912
Publication date: 11 September 2003
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02868474
Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25)
Related Items (12)
Moment analysis for localization in random Schrödinger operators ⋮ \(L_p\)-bounds for the Krein spectral shift function: \(0<p<\infty\) ⋮ Bounds on the spectral shift function and the density of states ⋮ \(L^{p}\)-approximation of the integrated density of states for Schrödinger operators with finite local complexity ⋮ Conditional Wegner estimate for the standard random breather potential ⋮ Weak convergence of spectral shift functions for one‐dimensional Schrödinger operators ⋮ The spectral shift function for compactly supported perturbations of Schrödinger operators on large bounded domains ⋮ An extension of the Koplienko--Neidhardt trace formulae ⋮ A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators ⋮ Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function ⋮ The Wegner estimate and the integrated density of states for some random operators ⋮ The integrated density of states for some random operators with nonsign definite potentials
Cites Work
- SCATTERING THEORY APPROACH TO RANDOM SCHRÖDINGER OPERATORS IN ONE DIMENSION
- THE DENSITY OF STATES AND THE SPECTRAL SHIFT DENSITY OF RANDOM SCHRÖDINGER OPERATORS
- The \(L^p\)-theory of the spectral shift function, the Wegner estimate, and the integrated density of states for some random operators.
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