The Reflexive Selfadjoint Solutions to Some Operator Equations

• 作者: Wenting Liang Chunyuan Deng
• 来源期刊: 数学研究通讯
• 年，卷（期）: 2021,（2）
• 页码范围: 236-254
• 页数: 19页
• 语种: 英文
• DOI: 10.4208/cmr.2021-0006

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.