Article ID Journal Published Year Pages File Type
4601553 Linear Algebra and its Applications 2010 9 Pages PDF
Abstract

We present necessary and sufficient conditions for the existence of a positive solution to the system of adjointable operator equations A1X=C1,XB2=C2,A3XB3=C3 over Hilbert C∗-modules. We also derive a representation for a general positive solution to this system when the solvability conditions are satisfied. The results of this paper extend some known results in the literature.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory