Invertibility and spectrum localization of non-self-adjoint operators

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Abstract

This paper deals with Volterra perturbations of normal operators in a separable Hilbert space. Invertibility conditions and estimates for the norm of the inverse operators are established. In addition, bounds for the spectrum are suggested. Applications to integral integro-differential, and matrix operators are discussed.

Original languageEnglish
Pages (from-to)40-58
Number of pages19
JournalAdvances in Applied Mathematics
Volume28
Issue number1
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Infinite matrices
  • Integral operators
  • Integrodifferential operators
  • Invertibility
  • Linear operators
  • Spectrum

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