How are Invertible Linear Operators and Their Inverses Related?

Research output: Contribution to journalArticlepeer-review


In a finite dimensional vector space, the inverse of an invertible operator is a polynomial in the operator. We study the connection between an invertible operator and its inverse in infinite dimensional Banach space.

Original languageEnglish
Article number112
JournalComplex Analysis and Operator Theory
Issue number7
StatePublished - 1 Oct 2023


  • Algebraic operators
  • Invariant subspaces
  • Invertible operators
  • Resolvent

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics


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