Hyperinvariant subspaces of operators with non-vanishing orbits. (English) Zbl 0914.47004
Summary: It is shown that if the Banach space operator \(T\) has regular norm-sequence, its vector orbits are asymptotically non-vanishing and there exists a complete vector orbit satisfying the growth condition of non-quasianalycity, then \(T\) has infinitely many disjoint hyperinvariant subspaces.
MSC:
47A15 | Invariant subspaces of linear operators |
47A60 | Functional calculus for linear operators |
47A65 | Structure theory of linear operators |