Mixed-Type Reverse Order Laws for Generalized Inverses over Hilbert Space

• 作者: Fengling Lu Haiyan Zhang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: {1 2 3}-Reverse 3 4}-Reverse REVERSE Order LAW Block-Operator Matrix
• 年，卷（期）: 2017,（5）
• 页码范围: 637-644
• 页数: 8页
• 分类号: O1

摘要

In this paper, by using a block-operator matrix technique, we study mixed-type reverse order laws for {1,3}-, {1,2,3}- and {1,3,4}-generalized inverses over Hilbert spaces. It is shown that and when the ranges of are closed. Moreover, a new equivalent condition of is given.