A Note on the Range of the Operator X↦TX−XT Defined on ?2(ℋ)
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-04
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We show how a proof of J.
Stampfli can be extended to prove that the operator X↦TX−XT defined on the Hilbert-Schmidt class, when T is an M-hyponormal, p-hyponormal, or log-hyponormal operator, has a closed range if and only if σ(T) is finite.
American Psychological Association (APA)
Lauric, Vasile. 2009. A Note on the Range of the Operator X↦TX−XT Defined on ?2(ℋ). International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-988542
Modern Language Association (MLA)
Lauric, Vasile. A Note on the Range of the Operator X↦TX−XT Defined on ?2(ℋ). International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-6.
https://search.emarefa.net/detail/BIM-988542
American Medical Association (AMA)
Lauric, Vasile. A Note on the Range of the Operator X↦TX−XT Defined on ?2(ℋ). International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-988542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988542
