Elements of the theory of linear volterra operators in banach spaces

Elena Litsyn

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The new definition of Volterra operator introduced in [5] allows specification of the classical theory of linear equations in Banach spaces to equations with such operators. Here we specially address relations between properties of the given linear equation with Volterra operator and properties of its conjugate. As well we treat the theory of Noetherian and Fredholm equations.

Original languageEnglish
Pages (from-to)239-253
Number of pages15
JournalIntegral Equations and Operator Theory
Volume58
Issue number2
DOIs
StatePublished - 1 Jun 2007

Keywords

  • Memory of operators
  • Volterra operators

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