On algebras generated by invertible operators

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6 Scopus citations


Let T be an invertible operator such that the compact operators in R(T) are weakly dense in it. Then T-l ∊ R(T). In particular, if Fis an essentially unitary C0 operator, T-l ∊ R(T).

Original languageEnglish
Pages (from-to)66-68
Number of pages3
JournalProceedings of the American Mathematical Society
Issue number1
StatePublished - 1 Jan 1977


  • Compact operators
  • Invariant subspace
  • Invertible operators
  • Weakly closed algebras

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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