SOLUTION OF OPERATOR EQUATIONS

Authors

  • Emad Abass Kuffi AL-Qadisiya Unversity, Collage of Education Department of Mathematics
  • Zainab Fahd Mehuws AL-Qadisiya Unversity, Collage of Education Department of Mathematics

Keywords:

Lyapunov equation, Sylvester Equation, Discrete-time operator equation, continuous-time operator equation

Abstract

n this paper, we study and discuss the existence and uniqueness of the solution of the discrete –time Sylvester and Lyapunov operator equations, and more general continuous –time Lyapunovoperator equations. Also, we study the nature of the solution for these operator equation for specialtypes of operators, as well as the study of the range A,B, A,and tA are introduced.Where,A,B(x)=AX-XB-1A(x)=A*X-XA-1, andtA(x)= A*X+tXA, XB(H).for A,B-1and A-1 are fixed operators in B(H),and t is any scalar.

 

Author Biography

  • Zainab Fahd Mehuws, AL-Qadisiya Unversity, Collage of Education Department of Mathematics



Published

2018-08-27

Issue

Section

Articles

How to Cite

(1)
SOLUTION OF OPERATOR EQUATIONS. ANJS 2018, 10 (2), 144-148.