Citation
Bamerni, Nareen and Kılıçman, Adem
(2018)
Subspace–hypercyclic weighted shifts.
Operators and Matrices, 12 (1).
pp. 205-214.
ISSN 1846-3886; eISSN: 1846-3886
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.7153/oam-2018-12-13 |
| Publisher: | Element D.O.O.admin@ele-math.com |
| Keywords: | Hypercyclic operators; Weighted shift operators |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 03 Jul 2025 03:04 |
| Last Modified: | 03 Jul 2025 03:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.7153/oam-2018-12-13 |
| URI: | http://psasir.upm.edu.my/id/eprint/74007 |
| Statistic Details: | View Download Statistic |
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