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
Pages
8
From page
35
To page
42
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
Serial Year
2015
Record number
2437690
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