Every isometry is reflexive
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- by James A. Deddens PDF
- Proc. Amer. Math. Soc. 28 (1971), 509-512 Request permission
Abstract:
A bounded linear operator $A$ on a Hilbert space $\mathcal {H}$ is called reflexive if any bounded linear operator which leaves invariant the invariant subspaces of $A$ is a limit of polynomials in $A$ in the weak operator topology. In this note we prove that every isometry $V$ on a Hilbert space $\mathcal {H}$ is reflexive.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 509-512
- MSC: Primary 47.35
- DOI: https://doi.org/10.1090/S0002-9939-1971-0278099-7
- MathSciNet review: 0278099