On the solutions of the operator equation XAX = BX
Author:
Affiliation:
1. College of Sciences, Inner Mongolia University of Technology, Hohhot, People's Republic of China
2. School of Mathematical Sciences, Inner Mongolia University, Hohhot, People's Republic of China
Funder
National Natural Science Foundation of China
Natural Science Foundation of Inner Mongolia
Publisher
Informa UK Limited
Subject
Algebra and Number Theory
Link
https://www.tandfonline.com/doi/pdf/10.1080/03081087.2021.2007836
Reference16 articles.
1. The matrix equation AXB+CYD=E
2. Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X +A∗X-1A = Q
3. Positive solutions to operator equations AXB=C
4. On the solutions of operator equation CAX=C=XAC
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1. The Existence and Representation of the Solutions to the System of Operator Equations AiXBi + CiYDi + EiZFi = Gi(i = 1, 2);Axioms;2024-06-27
2. The solution set to the nonlinear operator equation XAX = BX on Hilbert spaces;Quaestiones Mathematicae;2023-11-30
3. On the solution of nonlinear operator equations and the invariant subspace;Advances in Operator Theory;2023-09-10
4. Splitting of Operators and Operator Equations;Acta Mathematica Sinica, English Series;2023-04-17
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