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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hyperinvariant subspaces of operators
with non-vanishing orbits


Author: László Kérchy
Journal: Proc. Amer. Math. Soc. 127 (1999), 1363-1370
MSC (1991): Primary 47A15, 47A60
Published electronically: January 28, 1999
MathSciNet review: 1600097
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04842-X
PII: S 0002-9939(99)04842-X
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
Article copyright: © Copyright 1999 American Mathematical Society