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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
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