On a generalisation of Krein's example

DOI10.1016/j.jmaa.2018.07.011zbMath1482.47040arXiv1710.10975OpenAlexW2963204154MaRDI QIDQ1659298

Christoph Uebersohn, Olaf Post

Publication date: 15 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10975

zbMATH Keywords

perturbation theoryspectral shift functionHankel operatorsspectral projectionsself-adjoint operatorsboundary pairsvon Neumann direct integrals

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Tensor products of linear operators (47A80)

Cites Work

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• Sturm-Liouville boundary value problems with operator potentials and unitary equivalence
• Spectral theory of discontinuous functions of self-adjoint operators: Essential spectrum
• Spectral analysis on graph-like spaces
• Spectral theory of discontinuous functions of self-adjoint operators and scattering theory
• Resolvent comparability of certain boundary-value problems
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Spectrum of Sturm-Liouville equation with unbounded operator coefficient
• Resolvent comparability of boundary problems for an operator Sturm- Liouville equation
• Boundary triplets, tensor products and point contacts to reservoirs
• On the difference of spectral projections
• The inverse spectral problem for selfadjoint Hankel operators
• Scattering matrix and functions of self-adjoint operators
• On spectral theory for Schrödinger operators with operator-valued potentials
• Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient
• Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials
• Minimal spectral functions of an ordinary differential operator
• On Krein’s example
• The scattering matrix and the differences of spectral projections
• Spectral theory of piecewise continuous functions of self-adjoint operators
• On the spectral functions of a differential equation of second order with operator coefficients
• Boundary pairs associated with quadratic forms