The Reflexive Selfadjoint Solutions to Some Operator Equations  

作　　者：Wenting Liang Chunyuan Deng 

机构地区：[1]Department of Mathematics,Taiyuan Normal University,Jinzhong 030619,Shanxi,China [2]School ofMathematical Science,South ChinaNormal University,Guangzhou 510631,China

出　　处：《Communications in Mathematical Research》2021年第2期236-254,共19页数学研究通讯（英文版）

摘　　要：In this paper,we study the existence of the reflexive,reflexive selfadjoint 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.

关 键 词：(P Q)reflexive solution operator equation positive operator 

分 类 号：O177[理学—数学]