Recurrency on the Space of Hilbert-Schmidt Operators
| Autor: | Mansooreh Moosapoor |
|---|---|
| Jazyk: | Arabic<br />English |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Baghdad Science Journal, Vol 21, Iss 5 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2078-8665 2411-7986 |
| DOI: | 10.21123/bsj.2023.8870 |
| Popis: | In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that under some conditions recurrence of a C0-semigroup and the recurrency of the left multiplication C0-semigroup that is related to it, on the space of Hilbert-Schmidt operators are equivalent. Moreover, some sufficient conditions for recurrency and hypercyclicity of the left multiplication C0-semigroup are presented that are based on dense subsets |
| Databáze: | Directory of Open Access Journals |
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