On the direct sum of two bounded linear operators and subspace-hypercyclicity
Joint Authors
Source
General Letters in Mathematics
Issue
Vol. 8, Issue 1 (31 Mar. 2020), pp.1-7, 7 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2020-03-31
Country of Publication
Jordan
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bamerni, Nareen& Kilicman, Adem. 2020. On the direct sum of two bounded linear operators and subspace-hypercyclicity. General Letters in Mathematics،Vol. 8, no. 1, pp.1-7.
https://search.emarefa.net/detail/BIM-963470
Modern Language Association (MLA)
Bamerni, Nareen& Kilicman, Adem. On the direct sum of two bounded linear operators and subspace-hypercyclicity. General Letters in Mathematics Vol. 8, no. 1 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-963470
American Medical Association (AMA)
Bamerni, Nareen& Kilicman, Adem. On the direct sum of two bounded linear operators and subspace-hypercyclicity. General Letters in Mathematics. 2020. Vol. 8, no. 1, pp.1-7.
https://search.emarefa.net/detail/BIM-963470
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 7
Record ID
BIM-963470
