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Hyperinvariant subspaces of operators with non-vanishing orbits
Author(s):
László
Kérchy
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1363-1370.
MSC (1991):
Primary 47A15, 47A60
Posted:
January 28, 1999
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Abstract:
It is shown that if the Banach space operator  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  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
DOI:
10.1090/S0002-9939-99-04842-X
PII:
S 0002-9939(99)04842-X
Received by editor(s):
August 6, 1997
Posted:
January 28, 1999
Additional Notes:
Research partially supported by Hungarian NFS Research grant no. T 022920.
Communicated by:
David R. Larson
Copyright of article:
Copyright
1999,
American Mathematical Society
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