Hypercyclic operators are subspace hypercyclic
In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed subspace such that is dense in. We use this result to answer a question posed in Madore and Martínez-Avendaño (2011) [9]. In particular, we show that every hypercyclic operator is subspace-hypercyclic...
| Main Authors: | , , |
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| Formato: | Artigo |
| Idioma: | English |
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Academic Press Inc.
2016
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| Assuntos: | |
| Acesso em linha: | http://psasir.upm.edu.my/id/eprint/54471/1/Hypercyclic%20operators%20are%20subspace%20hypercyclic.pdf |
| _version_ | 1825931044190158848 |
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| author | Bamerni, Nareen Kadets, Vladimir Kilicman, Adem |
| author_facet | Bamerni, Nareen Kadets, Vladimir Kilicman, Adem |
| author_sort | Bamerni, Nareen |
| collection | UPM |
| description | In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed subspace such that is dense in. We use this result to answer a question posed in Madore and Martínez-Avendaño (2011) [9]. In particular, we show that every hypercyclic operator is subspace-hypercyclic. |
| first_indexed | 2024-03-06T09:20:46Z |
| format | Article |
| id | upm.eprints-54471 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:20:46Z |
| publishDate | 2016 |
| publisher | Academic Press Inc. |
| record_format | dspace |
| spelling | upm.eprints-544712018-03-19T09:11:59Z http://psasir.upm.edu.my/id/eprint/54471/ Hypercyclic operators are subspace hypercyclic Bamerni, Nareen Kadets, Vladimir Kilicman, Adem In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed subspace such that is dense in. We use this result to answer a question posed in Madore and Martínez-Avendaño (2011) [9]. In particular, we show that every hypercyclic operator is subspace-hypercyclic. Academic Press Inc. 2016-03 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54471/1/Hypercyclic%20operators%20are%20subspace%20hypercyclic.pdf Bamerni, Nareen and Kadets, Vladimir and Kilicman, Adem (2016) Hypercyclic operators are subspace hypercyclic. Journal of Mathematical Analysis and Applications, 435 (2). pp. 1812-1815. ISSN 0022-247X; ESSN: 1096-0813 https://www.sciencedirect.com/science/article/pii/S0022247X15010409 Hypercyclicity; Subspace-hypercyclicity 10.1016/j.jmaa.2015.11.015 |
| spellingShingle | Hypercyclicity; Subspace-hypercyclicity Bamerni, Nareen Kadets, Vladimir Kilicman, Adem Hypercyclic operators are subspace hypercyclic |
| title | Hypercyclic operators are subspace hypercyclic |
| title_full | Hypercyclic operators are subspace hypercyclic |
| title_fullStr | Hypercyclic operators are subspace hypercyclic |
| title_full_unstemmed | Hypercyclic operators are subspace hypercyclic |
| title_short | Hypercyclic operators are subspace hypercyclic |
| title_sort | hypercyclic operators are subspace hypercyclic |
| topic | Hypercyclicity; Subspace-hypercyclicity |
| url | http://psasir.upm.edu.my/id/eprint/54471/1/Hypercyclic%20operators%20are%20subspace%20hypercyclic.pdf |
| work_keys_str_mv | AT bamerninareen hypercyclicoperatorsaresubspacehypercyclic AT kadetsvladimir hypercyclicoperatorsaresubspacehypercyclic AT kilicmanadem hypercyclicoperatorsaresubspacehypercyclic |