Hyperinvariant subspaces of reductive operators
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- by Robert L. Moore PDF
- Proc. Amer. Math. Soc. 63 (1977), 91-94 Request permission
Abstract:
T. B. Hoover has shown that if A is a reductive operator, then $A = {A_1} \oplus {A_2}$, where ${A_1}$ is normal and all the invariant subspaces of ${A_2}$ are hyperinvariant. A new proof is presented of this result, and several corollaries are derived. Among these is the fact that if A is hyperinvariant and T is polynomially compact and $AT = TA$, then ${A^ \ast }T = T{A^ \ast }$. It is also shown that every reductive operator is quasitriangular.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 91-94
- MSC: Primary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0435888-9
- MathSciNet review: 0435888