@Article{CMR-37-2, author = {Wenting, Liang 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 = {https://global-sci.com/article/81507/the-reflexive-selfadjoint-solutions-to-some-operator-equations} }