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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academic Press Inc.
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/54471/1/Hypercyclic%20operators%20are%20subspace%20hypercyclic.pdf http://psasir.upm.edu.my/id/eprint/54471/ https://www.sciencedirect.com/science/article/pii/S0022247X15010409 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Putra Malaysia |
| Language: | English |
| id |
my.upm.eprints.54471 |
|---|---|
| record_format |
eprints |
| spelling |
my.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 10.1016/j.jmaa.2015.11.015 |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
| url_provider |
http://psasir.upm.edu.my/ |
| language |
English |
| 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. |
| format |
Article |
| author |
Bamerni, Nareen Kadets, Vladimir Kilicman, Adem |
| spellingShingle |
Bamerni, Nareen Kadets, Vladimir Kilicman, Adem Hypercyclic operators are subspace hypercyclic |
| author_facet |
Bamerni, Nareen Kadets, Vladimir Kilicman, Adem |
| author_sort |
Bamerni, Nareen |
| title |
Hypercyclic operators are subspace hypercyclic |
| title_short |
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_sort |
hypercyclic operators are subspace hypercyclic |
| publisher |
Academic Press Inc. |
| publishDate |
2016 |
| url |
http://psasir.upm.edu.my/id/eprint/54471/1/Hypercyclic%20operators%20are%20subspace%20hypercyclic.pdf http://psasir.upm.edu.my/id/eprint/54471/ https://www.sciencedirect.com/science/article/pii/S0022247X15010409 |
| _version_ |
1643835643300675584 |