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On the Kato-Rosenblum and Weyl-von Neumann theorems

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Publication:610562
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DOI10.1134/S1064562410030099zbMath1213.47024MaRDI QIDQ610562

Hagen Neidhardt, Mark M. Malamud

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

symmetric operatorSchatten-von Neumann classabsolutely continuous partselfadjoint extension


Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25)


Related Items

On the unitary equivalence of absolutely continuous parts of self-adjoint extensions, Sturm-Liouville boundary value problems with operator potentials and unitary equivalence



Cites Work

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  • Perturbation of the continuous spectrum and unitary equivalence
  • Generalized resolvents and the boundary value problems for Hermitian operators with gaps
  • The extension theory of Hermitian operators and the moment problem
  • On a theorem of Weyl-von Neumann
  • Perturbation of continuous spectra by Trace class operators
  • SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
  • Distributions and Operators
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