Title :
Studies on the positive operator solutions to a class of operator equation
Author_Institution :
Dept. of Math., Shaanxi Univ. of Technol., Hanzhong, China
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;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765244
