Subspace–hypercyclic weighted shifts
Our aim in this paper is to obtain necessary and sufficient conditions for bilateral and unilateral weighted shift operators to be subspace-transitive. We show that the Herrero question [6] holds true even on a subspace of a Hilbert space, i.e. there exists an operator T such that both T and T∗ are...
| Main Authors: | , |
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| Format: | Article |
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Element D.O.O.admin@ele-math.com
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/74007/ |
| _version_ | 1848857414072270848 |
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| author | Bamerni, Nareen Kılıçman, Adem |
| author_facet | Bamerni, Nareen Kılıçman, Adem |
| author_sort | Bamerni, Nareen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Our aim in this paper is to obtain necessary and sufficient conditions for bilateral and unilateral weighted shift operators to be subspace-transitive. We show that the Herrero question [6] holds true even on a subspace of a Hilbert space, i.e. there exists an operator T such that both T and T∗ are subspace-hypercyclic operators for some subspaces. We display the conditions on the direct sum of two invertible bilateral forward weighted shift operators to be subspace-hypercyclic. |
| first_indexed | 2025-11-15T11:57:10Z |
| format | Article |
| id | upm-74007 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T11:57:10Z |
| publishDate | 2018 |
| publisher | Element D.O.O.admin@ele-math.com |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-740072025-07-03T03:04:46Z http://psasir.upm.edu.my/id/eprint/74007/ Subspace–hypercyclic weighted shifts Bamerni, Nareen Kılıçman, Adem Our aim in this paper is to obtain necessary and sufficient conditions for bilateral and unilateral weighted shift operators to be subspace-transitive. We show that the Herrero question [6] holds true even on a subspace of a Hilbert space, i.e. there exists an operator T such that both T and T∗ are subspace-hypercyclic operators for some subspaces. We display the conditions on the direct sum of two invertible bilateral forward weighted shift operators to be subspace-hypercyclic. Element D.O.O.admin@ele-math.com 2018 Article PeerReviewed Bamerni, Nareen and Kılıçman, Adem (2018) Subspace–hypercyclic weighted shifts. Operators and Matrices, 12 (1). pp. 205-214. ISSN 1846-3886; eISSN: 1846-3886 https://oam.ele-math.com/12-13/Subspace-hypercyclic-weighted-shifts 10.7153/oam-2018-12-13 |
| spellingShingle | Bamerni, Nareen Kılıçman, Adem Subspace–hypercyclic weighted shifts |
| title | Subspace–hypercyclic weighted shifts |
| title_full | Subspace–hypercyclic weighted shifts |
| title_fullStr | Subspace–hypercyclic weighted shifts |
| title_full_unstemmed | Subspace–hypercyclic weighted shifts |
| title_short | Subspace–hypercyclic weighted shifts |
| title_sort | subspace–hypercyclic weighted shifts |
| url | http://psasir.upm.edu.my/id/eprint/74007/ http://psasir.upm.edu.my/id/eprint/74007/ http://psasir.upm.edu.my/id/eprint/74007/ |