Mixed-Type Reverse-Order Laws for the Generalized Inverses of an Operator Product

作者：Xiong, Zhiping^*; Qin, Yingying

来源：Arabian Journal for Science and Engineering, 2011, 36(3): 475-486.

DOI：10.1007/s13369-011-0046-8

• Mixed-type reverse-order law
• Moore-Penrose inverse
• Generalized inverse
• Linear bounded operators
• Operator product
• Hilbert space

In this paper, we study mixed-type reverse-order laws for the Moore-Penrose inverse of an operator product AB, and obtain necessary and sufficient conditions for these mixed-type reverse-order laws. Results related to other generalized inverses are also proved.

• 出版日期2011-5
• 单位五邑大学