On Some Normality-Like Properties and Bishop's Property (β) for a Class of Operators on Hilbert Spaces
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-03
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We prove some further properties of the operator T∈[nQN] (n-power quasinormal, defined in Sid Ahmed, 2011).
In particular we show that the operator T∈[nQN] satisfying the translation invariant property is normal and that the operator T∈[nQN] is not supercyclic provided that it is not invertible.
Also, we study some cases in which an operator T∈[2QN] is subscalar of order m; that is, it is similar to the restriction of a scalar operator of order m to an invariant subspace.
American Psychological Association (APA)
Ould Ahmed Mahmoud, Sid Ahmed. 2012. On Some Normality-Like Properties and Bishop's Property (β) for a Class of Operators on Hilbert Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-512868
Modern Language Association (MLA)
Ould Ahmed Mahmoud, Sid Ahmed. On Some Normality-Like Properties and Bishop's Property (β) for a Class of Operators on Hilbert Spaces. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-512868
American Medical Association (AMA)
Ould Ahmed Mahmoud, Sid Ahmed. On Some Normality-Like Properties and Bishop's Property (β) for a Class of Operators on Hilbert Spaces. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-512868
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512868