Diyala Journal For Pure Science
Scientific Refereed Journal Published By College of Science - University of Diyala
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Diyala Journal For Pure Sciences DJPS
ISRA Impact Factor:3.715
P- ISSN:2222-8373, E-ISSN:2518-9255
Volume 13, Issue 1, Part 1 , January. 2017
On The Product Of Positively Defined Operators
Mahmood Kamil Shihab
Year: 2017, Volume: 13, Issue: 1, Part:1
Pages: 74-77, DOI: http://dx.doi.org/10.24237/djps.1301.35A
The main result is to prove that the product of two positively defined operators is positively defined if and only if it is normal. In general, the normality is required can not be dropped.
Keywords: Positively defined operators, Normal Operators, self-adjoint operators, Hilbert space.