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On the direct sum of two bounded linear operators and subspace-hypercyclicity
| Received Date | Revised Date | Accepted Date | Publication Date |
| 15/10/2019 | 22/1/2020 | 13/2/2020 | 29/4/2020 |
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.©2019 All rights reserved.
Keywords: Hypercyclic operators, Direct sums
How To Cite This Article
Bamerni , N. & Kılıc¸man , A. (2020). On the direct sum of two bounded linear operators and subspace-hypercyclicity . General Letters in Mathematics, 8 (1), 1-7, 10.31559/glm2020.8.1.1
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