Title of article :
The solutions to some operator equations in Hilbert C∗ -module
Author/Authors :
Mohammadzadeh Karizak, M. Department of Mathematics - Islamic Azad University, Mashhad Branch , Hassani, M. Department of Mathematics - Islamic Azad University, Mashhad Branch
Abstract :
In this paper, we state some results on product of operators with closed ranges and we solve the operator equation TXS∗−SX∗T∗=A in the general setting of the adjointable operators between Hilbert C∗-modules, when TS=1. Furthermore, by using some block operator matrix techniques, we nd explicit solution of the operator equation TXS∗−SX∗T∗=A.
Keywords :
Operator equation , Moore-Penrose inverse , Complemented submodule , Closed range , Hilbert C*-module
Journal title :
Astroparticle Physics
