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Hyperinvariant Subspaces of Operators with Non-Vanishing Orbits

Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1363-1370

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Abstract : 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.

Keyword : Primary 47A15, 47A60

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