Spectrum perturbations of operators on tensor products of Hilbert spaces

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4 Scopus citations

Abstract

We investigate the spectrum perturbations and spectrum localization of a class of operators on a tensor product of separable Hilbert spaces. In particular, estimates for the spectral radius and norm of the resolvent are derived. Applications to partial integral and integro-differential operators are also discussed.

Original languageEnglish
Pages (from-to)719-735
Number of pages17
JournalKyoto Journal of Mathematics
Volume43
Issue number4
DOIs
StatePublished - 1 Jan 2004

Keywords

  • Hilbert spaces
  • Integro-differential operators
  • Linear operators
  • Partial integral operators
  • Spectrum
  • Tensor products

ASJC Scopus subject areas

  • General Mathematics

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