@Article{CMR-37-236, author = {Liang , Wenting and Deng , Chunyuan}, title = {The Reflexive Selfadjoint Solutions to Some Operator Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {37}, number = {2}, pages = {236--254}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0006}, url = {http://global-sci.org/intro/article_detail/cmr/18739.html} }