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LIMITS OF WEAKLY HYPERCYCLIC AND SUPERCYCLIC OPERATORS

Published online by Cambridge University Press:  27 July 2005

GABRIEL T. PRAˇJITURAˇ
GABRIEL T. PRAˇJITURAˇ
Affiliation:
Department of Mathematics, SUNY Brockport, Brockport, NY, 14420 e-mail: [email protected]
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Abstract

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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.

Keywords

Primary 47A16Secondary 47B37
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 2 , May 2005 , pp. 255 - 260
Copyright
2005 Glasgow Mathematical Journal Trust