Hyperinvariant subspaces of operators with non-vanishing orbits
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- by László Kérchy PDF
- Proc. Amer. Math. Soc. 127 (1999), 1363-1370 Request permission
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.References
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Additional Information
- László Kérchy
- Affiliation: Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary
- Email: kerchy@math.u-szeged.hu
- Received by editor(s): August 6, 1997
- Published electronically: January 28, 1999
- Additional Notes: Research partially supported by Hungarian NFS Research grant no. T 022920.
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1363-1370
- MSC (1991): Primary 47A15, 47A60
- DOI: https://doi.org/10.1090/S0002-9939-99-04842-X
- MathSciNet review: 1600097