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arXiv · 2301.12265

Hypercyclic Operators on Hilbert C*-modules

Stefan Ivkovic
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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. In addition, we characterize a class of hypercyclic operators on non-unital C*-algebras and we provide concrete examples.

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Stefan Ivkovic. 2023-01-28. Hypercyclic Operators on Hilbert C*-modules. https://doi.org/10.2298/fil2406901i

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