Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent

S. Yarmahmoodi, K. Hedayatian and B. Yousefi

Abstract and Applied Analysis, 2011, vol. 2011, 1-11

Abstract:

Suppose that is a separable normed space and the operators and are bounded on . In this paper, it is shown that if , is an isometry, and is a nilpotent then the operator is neither supercyclic nor weakly hypercyclic. Moreover, if the underlying space is a Hilbert space and is a co-isometric operator, then we give sufficient conditions under which the operator satisfies the supercyclicity criterion.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:686832

DOI: 10.1155/2011/686832

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