On invertible operators and invariant subspaces

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Abstract

Let A be an invertible operator on a complex Hubert space H. Sufficient conditions are given for the inverse of A to be a weak limit of polynomials in A.

Original languageEnglish
Pages (from-to)123-126
Number of pages4
JournalProceedings of the American Mathematical Society
Volume43
Issue number1
DOIs
StatePublished - 1 Jan 1974

Keywords

  • Invariant subspace
  • Invertible operator
  • Numerical range
  • Operator range

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