The inaccessible invariant subspaces of certain $C_{0}$ operators
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- by John Daughtry PDF
- Proc. Amer. Math. Soc. 78 (1980), 51-55 Request permission
Abstract:
We extend the Douglas-Pearcy characterization of the inaccessible invariant subspaces of an operator on a finite-dimensional Hilbert space to the cases of algebraic operators and certain ${C_0}$ operators on any Hilbert space. This characterization shows that the inaccessible invariant subspaces for such an operator form a lattice. In contrast to D. Herrero’s recent result on hyperinvariant subspaces, we show that quasisimilar operators in the classes under consideration have isomorphic lattices of inaccessible invariant subspaces.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 51-55
- MSC: Primary 47A15; Secondary 47A20, 47A45
- DOI: https://doi.org/10.1090/S0002-9939-1980-0548083-X
- MathSciNet review: 548083