Authors: Ivković, Stefan 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Hypercyclic operators on Hilbert C*-modules
Journal: Filomat
Volume: 38
Issue: 6
First page: 1901
Last page: 1913
Issue Date: 2024
Rank: ~M22
DOI: 10.2298/FIL2406901I
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.
Publisher: Faculty of Sciences and Mathematics, University of Niš

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