Citation
Bamerni, Nareen and Kilicman, Adem
(2020)
On the direct sum of two bounded linear operators and subspace-hypercyclicity.
General Letters in Mathematics, 8 (1).
pp. 1-7.
ISSN 2519-9269; ESSN: 2519-9277
Abstract
In this paper, we study the relation between subspace-hypercyclicity and the direct sum of two operators. In particular, we show that if the direct sum of two operators is subspace-hypercyclic, then both operators are subspace-hypercyclic; however, the converse is true for a stronger property than subspace-hypercyclicity. Moreover, we prove that if an operator T satisfies subspace-hypercyclic criterion, then T ⊕ T is subspace-hypercyclic. However, we show that the converse is true under certain conditions.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| Publisher: | Refaad |
| Keywords: | Hypercyclic operators; Direct sums |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 05 Sep 2022 03:51 |
| Last Modified: | 05 Sep 2022 03:51 |
| URI: | http://psasir.upm.edu.my/id/eprint/86975 |
| Statistic Details: | View Download Statistic |
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