LIMITS OF WEAKLY HYPERCYCLIC AND SUPERCYCLIC OPERATORS

We give a spectral characterization of the norm closure of the class of all weakly hypercyclic operators on a Hilbert space. Analogous results are obtained for weakly supercyclic operators.

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Bibliographic Details
Published in:Glasgow mathematical journal 2005-05, Vol.47 (2), p.255-260
Main Author: PRA JITURA, GABRIEL T
Format: Article
Language:English
Subjects:
Primary 47A16
Secondary 47B37
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Description
Summary:We give a spectral characterization of the norm closure of the class of all weakly hypercyclic operators on a Hilbert space. Analogous results are obtained for weakly supercyclic operators.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089505002466