Spectral enclosures for non-self-adjoint extensions of symmetric operators

DOI10.1016/j.jfa.2018.04.005zbMath1472.47018arXiv1710.07542OpenAlexW2766911090MaRDI QIDQ1653296

Vladimir Lotoreichik, Matthias Langer, Jussi Behrndt, Jonathan Rohleder

Publication date: 3 August 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07542

zbMATH Keywords

differential operatorWeyl functionspectral enclosurenon-self-adjoint extension

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General topics in linear spectral theory for PDEs (35P05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Nonselfadjoint operators (47B28)

Related Items (6)

Generalized boundary triples, II. Some applications of generalized boundary triples and form domain invariant Nevanlinna functions ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Scattering of particles bounded to an infinite planar curve ⋮ A Birman-Kreĭn-Vishik-Grubb theory for sectorial operators ⋮ The Krein-von Neumann extension for Schrödinger operators on metric graphs ⋮ Spectral enclosures for non-self-adjoint discrete Schrödinger operators

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