2023
DOI: 10.48550/arxiv.2301.12265
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Hypercyclic Operators on Hilbert C*-modules

Abstract: In this paper we characterize hypercyclic generalized bilateral weighted shift operators on the standard Hilbert module over the C *algebra of compact operators on the separable Hilbert space. Moreover, we give necessary and sufficient conditions for these operators to be chaotic and we provide concrete examples.

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