A note on uniform operators
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- by Hsiao Lan Wang PDF
- Proc. Amer. Math. Soc. 97 (1986), 643-646 Request permission
Abstract:
An operator is uniform if its restriction to any infinite-dimensional invariant subspace is unitarily equivalent to itself. We show that a uniform operator having a proper infinite-dimensional invariant subspace resembles an analytic Toeplitz operator in the way that the weakly closed algebra generated by it and the identity operator is isomorphic to a subalgebra of the Calkin algebra; furthermore, this algebra contains no nonscalar operator which is quasi-similar to a normal operator.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 643-646
- MSC: Primary 47B35; Secondary 47A15, 47D25
- DOI: https://doi.org/10.1090/S0002-9939-1986-0845981-X
- MathSciNet review: 845981