A. Ahmead, B., E. Ibraheam, N. (2015). The Solution of Operator Equations A X B+X^*=C & A X B+ B^* X^* C=D. , 56(3), 2368-2373.
Buthainah A. Ahmead; Noor E. Ibraheam. "The Solution of Operator Equations A X B+X^*=C & A X B+ B^* X^* C=D". , 56, 3, 2015, 2368-2373.
A. Ahmead, B., E. Ibraheam, N. (2015). 'The Solution of Operator Equations A X B+X^*=C & A X B+ B^* X^* C=D', , 56(3), pp. 2368-2373.
A. Ahmead, B., E. Ibraheam, N. The Solution of Operator Equations A X B+X^*=C & A X B+ B^* X^* C=D. , 2015; 56(3): 2368-2373.

The Solution of Operator Equations A X B+X^*=C & A X B+ B^* X^* C=D

Iraqi Journal of Science
Article 1, Volume 56, Issue 3, 2015, Pages 2368-2373
Authors
Buthainah A. Ahmead; Noor E. Ibraheam
Abstract
In this paper, we study the solvability of two operator equations
A X B+ X^*=C (1)
and
A X B+B^* X^* C=D (2)
Where A, B, C and D are bounded linear operators. We give the necessary and sufficient conditions for the existence of a solution of equation (1), and describe the general form of the solution in the solvable case for both equations by using g-inverse of the operator B.
Keywords
Operator equation; Moore; penrose inverse
Statistics
Article View: 62
PDF Download: 6


Journal Management System. Powered by iJournalPro.com