The Reflexive Selfadjoint Solutions to Some Operator Equations

作     者：Wenting Liang Chunyuan Deng Wenting Liang;Chunyuan Deng

作者机构：Department of MathematicsTaiyuan Normal UniversityJinzhong 030619ShanxiChina School ofMathematical ScienceSouth ChinaNormal UniversityGuangzhou 510631China 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2021年第37卷第2期

页      面：236-254页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：(P Q)reflexive solution operator equation positive operator 

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.