Spectrum and resolvent of a partial integral operator

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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
Issue number5
StatePublished - 1 Jan 2008


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

ASJC Scopus subject areas

  • Environmental Chemistry
  • Pollution
  • Plant Science


Dive into the research topics of 'Spectrum and resolvent of a partial integral operator'. Together they form a unique fingerprint.

Cite this