Spectrum and resolvent of a partial integral operator

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Abstract

We consider the partial integral operator (Formula presented.) where w(.,.), K(.,.,.), φ are given functions. Norm estimates for the resolvent and bounds for the spectrum are established. Our main tool is the direct integral of Hilbert spaces and recent estimates for norms of the resolvents of compact operators and operators with the compact Hermitian components.

Original languageEnglish
Pages (from-to)555-566
Number of pages12
JournalInternational Journal of Phytoremediation
Volume87
Issue number5
DOIs
StatePublished - 1 Jan 2008

Keywords

  • 45P05
  • 47B10
  • 47G10
  • Direct integral of Hilbert spaces
  • Partial integral operators
  • Perturbations
  • Resolvent
  • Spectrum

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