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


Quasisimilarity does not preserve the hyperlattice

Author: Domingo A. Herrero
Journal: Proc. Amer. Math. Soc. 65 (1977), 80-84
MSC: Primary 47A15
MathSciNet review: 0451004
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Abstract: Two quasisimilar nilpotent Hilbert space operators of order three can have nonisomorphic hyperinvariant subspace lattices.

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PII: S 0002-9939(1977)0451004-1
Keywords: Hyperinvariant subspace lattice, Jordan operator, nilpotent operator, quassimilarity
Article copyright: © Copyright 1977 American Mathematical Society