On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria
In this paper, we prove the existance of subspace-diskcyclic $C_{0}$-semigroups on any infinite-dimensional separable Banach space. We state that diskcyclic $C_{0}$-semigroups are subspace-diskcyclic. Also, we establish some criteria for subspace-diskcyclic $C_{0}$-semigroups. Most of these cr...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-05-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3624_b292207452bd5b0462cbd6a44e78b544.pdf |
| _version_ | 1827920756579762176 |
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| author | Mansooreh Moosapoor |
| author_facet | Mansooreh Moosapoor |
| author_sort | Mansooreh Moosapoor |
| collection | DOAJ |
| description | In this paper, we prove the existance of subspace-diskcyclic $C_{0}$-semigroups on any infinite-dimensional separable Banach space. We state that diskcyclic $C_{0}$-semigroups are subspace-diskcyclic. Also, we establish some criteria for subspace-diskcyclic $C_{0}$-semigroups. Most of these criteria are based on non-empty relatively open sets and some of them are based on dense sets. |
| first_indexed | 2024-03-13T04:16:15Z |
| format | Article |
| id | doaj.art-093d3195368f45d4b1326093c54a81a3 |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T04:16:15Z |
| publishDate | 2023-05-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-093d3195368f45d4b1326093c54a81a32023-06-21T03:19:53ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-05-0112258559310.22103/jmmr.2023.20275.13403624On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteriaMansooreh Moosapoor0Department of Mathematics, Farhangian University, Tehran, Iran.In this paper, we prove the existance of subspace-diskcyclic $C_{0}$-semigroups on any infinite-dimensional separable Banach space. We state that diskcyclic $C_{0}$-semigroups are subspace-diskcyclic. Also, we establish some criteria for subspace-diskcyclic $C_{0}$-semigroups. Most of these criteria are based on non-empty relatively open sets and some of them are based on dense sets.https://jmmrc.uk.ac.ir/article_3624_b292207452bd5b0462cbd6a44e78b544.pdfsubspace-diskcyclicitydiskcyclicity$c_{0}$-semigroups |
| spellingShingle | Mansooreh Moosapoor On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria Journal of Mahani Mathematical Research subspace-diskcyclicity diskcyclicity $c_{0}$-semigroups |
| title | On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria |
| title_full | On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria |
| title_fullStr | On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria |
| title_full_unstemmed | On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria |
| title_short | On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria |
| title_sort | on the existence of subspace diskcyclic c 0 semigroups and some criteria |
| topic | subspace-diskcyclicity diskcyclicity $c_{0}$-semigroups |
| url | https://jmmrc.uk.ac.ir/article_3624_b292207452bd5b0462cbd6a44e78b544.pdf |
| work_keys_str_mv | AT mansoorehmoosapoor ontheexistenceofsubspacediskcyclicc0semigroupsandsomecriteria |