Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912620735365120 |
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| author | Ri, Song-Ung Ju, Hyon-Hui Kim, Jin-Myong |
| author_facet | Ri, Song-Ung Ju, Hyon-Hui Kim, Jin-Myong |
| contents | In this paper we study some dynamical properties such as Frequent Hypercyclicity Criterion, chaos, disjoint hypercyclicity and F-transitivity via Furstenberg family F for generalized bilateral weighted shift operator on the standard Hilbert C-module over C-algebra of compact operators on a separable Hilbert space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00445 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules Ri, Song-Ung Ju, Hyon-Hui Kim, Jin-Myong Functional Analysis Analysis of PDEs 47A16, 37B20, 47B37 In this paper we study some dynamical properties such as Frequent Hypercyclicity Criterion, chaos, disjoint hypercyclicity and F-transitivity via Furstenberg family F for generalized bilateral weighted shift operator on the standard Hilbert C-module over C-algebra of compact operators on a separable Hilbert space. |
| title | Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules |
| topic | Functional Analysis Analysis of PDEs 47A16, 37B20, 47B37 |
| url | https://arxiv.org/abs/2510.00445 |