Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators

DOI10.1112/jlms/jdt012zbMath1296.35097arXiv1301.5780OpenAlexW3105745704MaRDI QIDQ2854242

Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik

Publication date: 18 October 2013

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

Full work available at URL: https://arxiv.org/abs/1301.5780

zbMATH Keywords

trace formulaRobin boundary conditionsingular valueself-adjoint elliptic operatorSchatten-von Neumann ideal

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Operator ideals (47L20)

Related Items

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Spectral shift functions and Dirichlet-to-Neumann maps ⋮ Linear boundary-value problems described by Drazin invertible operators ⋮ Spectral estimates for resolvent differences of self-adjoint elliptic operators ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ On the spectral properties of Dirac operators with electrostatic \(\delta\)-shell interactions ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Elliptic differential operators on Lipschitz domains and abstract boundary value problems ⋮ Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems ⋮ On the spectral boundary value problems and boundary approximate controllability of linear systems ⋮ Perturbation determinants for singular perturbations