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On invertible operators and invariant subspaces

Author: Avraham Feintuch
Journal: Proc. Amer. Math. Soc. 43 (1974), 123-126
MSC: Primary 47A15
MathSciNet review: 0331082
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Abstract: Let $ A$ be an invertible operator on a complex Hilbert space $ H$. Sufficient conditions are given for the inverse of $ A$ to be a weak limit of polynomials in $ A$.

References [Enhancements On Off] (What's this?)

  • [1] P. Fillmore and J. P. Williams, On operator ranges, Advances in Math. 7 (1971), 254-281. MR 45 #2518. MR 0293441 (45:2518)
  • [2] C. Foias, Invariant para-closed subspaces, Indiana Univ. Math. J. 21 (1972), 887-906. MR 0293439 (45:2516)
  • [3] H. Radjavi and P. Rosenthal, On invariant subspaces and reflexive algebras, Amer. J. Math. 91 (1969), 683-692. MR 40 #4796. MR 0251569 (40:4796)
  • [4] J. Wermer, On invariant subspaces of normal operators, Proc. Amer. Math. Soc. 3 (1952), 270-277. MR 14, 55. MR 0048700 (14:55g)

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Keywords: Invertible operator, invariant subspace, numerical range, operator range
Article copyright: © Copyright 1974 American Mathematical Society

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