Spectral estimates for resolvent differences of self-adjoint elliptic operators

Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik

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The concept of quasi boundary triples and Weyl functions from extension theory of symmetric operators in Hilbert spaces is developed further and spectral estimates for resolvent differences of two self-adjoint extensions in terms of general operator ideals are proved. The abstract results are applied to self-adjoint realizations of second order elliptic differential operators on bounded and exterior domains, and partial differential operators with δ-potentials supported on hypersurfaces are studied.
Original languageEnglish
Pages (from-to)1-37
Number of pages37
JournalIntegral Equations and Operator Theory
Issue number1
Early online date1 Jul 2013
Publication statusPublished - Sept 2013


  • elliptic operator
  • self-adjoint extension
  • operator ideal
  • delta-potential
  • quasi boundary triple
  • Weyl function


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