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Extensions of the results on powers of -hyponormal and -hyponormal operators
- Source :
- Journal of Inequalities and Applications, Vol 2006, Iss 1, p 36919 (2006)
- Publication Year :
- 2006
- Publisher :
- SpringerOpen, 2006.
-
Abstract
- Firstly, we will show the following extension of the results on powers of -hyponormal and -hyponormal operators: let and be positive integers, if is -hyponormal for , then: (i) in case , and hold, (ii) in case , and hold. Secondly, we will show an estimation on powers of -hyponormal operators for which implies the best possibility of our results. Lastly, we will show a parallel estimation on powers of -hyponormal operators as follows: let , then the following hold for each positive integer and : (i) there exists a log-hyponormal operator such that , (ii) there exists a -hyponormal operator such that .
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10255834 and 1029242X
- Volume :
- 2006
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Inequalities and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.b5b84ce0f5c74c538b827b73cb4eed9b
- Document Type :
- article