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The inaccessible invariant subspaces of certain $C\sb{0}$\ operators
1980
Proceedings of the American Mathematical Society
We extend the Douglas-Pearcy characterization of the inaccessible invariant subspaces of an operator on a finite-dimensional Hubert space to the cases of algebraic operators and certain C0 operators on any Hubert 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.
doi:10.1090/s0002-9939-1980-0548083-x
fatcat:45x2fgpsyjhzbiqopuxubapocy