TY - JOUR
T1 - The Reflexive Selfadjoint Solutions to Some Operator Equations
AU - Liang , Wenting
AU - Deng , Chunyuan
JO - Communications in Mathematical Research 
VL - 2
SP - 236
EP - 254
PY - 2021
DA - 2021/04
SN - 37
DO - http://doi.org/10.4208/cmr.2021-0006
UR - https://global-sci.org/intro/article_detail/cmr/18739.html
KW - $(P,Q)$ reflexive solution, operator equation, positive operator.
AB - <p style="text-align: justify;">In this paper, we study the existence of the reflexive, reflexive self-adjoint and reflexive positive solutions to some operator equations with respect
to the generalized reflection operator dual $(P,Q)$. We derive necessary and sufficient conditions for the solvability of these equations and provide a detailed
description of the solutions in the solvable case by using the Moore-Penrose
inverses.</p>