DocumentCode
3112756
Title
Studies on the positive operator solutions to a class of operator equation
Author
Yang, Kaifan
Author_Institution
Dept. of Math., Shaanxi Univ. of Technol., Hanzhong, China
fYear
2011
fDate
26-28 March 2011
Firstpage
238
Lastpage
239
Abstract
In infinite dimensional Hilbert space,the positive operator solutions to the operator equation X + A* X-t A = I(0 <; t <; 1) are studied. Some necessary conditions and sufficient conditions for the existence of positive operator solutions to the equation are given. Also, the rang of the positive operator solutions is established.
Keywords
Hilbert spaces; functional analysis; infinite dimensional Hilbert space; operator equation; positive operator solutions; Artificial intelligence; Equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-9440-8
Type
conf
DOI
10.1109/ICIST.2011.5765244
Filename
5765244
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