Spectral averaging and the Krein spectral shift

DOI10.1090/S0002-9939-98-04261-0zbMath0892.47021OpenAlexW1830514598MaRDI QIDQ4383141

Barry Simon

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04261-0

zbMATH Keywords

trace classKrein spectral shifttheorem of Birman and Solomyak

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)

Related Items (22)

Trace formulas for additive and non-additive perturbations ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Spectral flow inside essential spectrum ⋮ Higher order spectral shift ⋮ Spectral shift functions and Dirichlet-to-Neumann maps ⋮ $\mathbf {\operatorname {SL} _2({\mathbb {R}})}$, exponential Herglotz representations, and spectral averaging ⋮ The Witten index and the spectral shift function ⋮ Bulk-boundary correspondence for Sturmian Kohmoto-like models ⋮ Localization for the random displacement model ⋮ A topological approach to unitary spectral flow via continuous enumeration of eigenvalues ⋮ The spectral shift function and spectral flow ⋮ The spectral shift function for compactly supported perturbations of Schrödinger operators on large bounded domains ⋮ Regularity of the surface density of states ⋮ On an integral formula for Fredholm determinants related to pairs of spectral projections ⋮ Spectral averaging for trace compatible operators ⋮ Continuity of spectral averaging ⋮ Concavity of eigenvalue sums and the spectral shift function ⋮ The \(\Xi\) operator and its relation to Krein's spectral shift function ⋮ Some Remarks on Spectral Averaging and the Local Density of States for Random Schrödinger Operators on $$L^2 (\mathbb {R}^d)$$ ⋮ 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 ⋮ On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral averaging and the Krein spectral shift