Invertibility and positive invertibility of integral operators in L

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5 Scopus citations

Abstract

Integral operators on space L[0, 1] are considered. Invertibilityconditions, estimates for the norm of the inverse operators and positive invertibilityconditions are established. In addition, bounds for the spectral radius are suggested. Applications to nonselfadjoint differential operators and integro-differential ones are discussed.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalJournal of Integral Equations and Applications
Volume13
Issue number1
DOIs
StatePublished - 1 Dec 2001

Keywords

  • Differential operators
  • Integral operators
  • Integro-differential operators
  • Invertibilityand positive invertibility
  • Norms of inverse operators
  • Spectral radius

ASJC Scopus subject areas

  • Numerical Analysis
  • Applied Mathematics

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