Article citationsMore>>

Izumino, S. (1982) The Product of Operators with Closed Range and an Extension of the Reverse Order Law. Tohoku Mathematical Journal, 34, 43-52.
https://doi.org/10.2748/tmj/1178229307

has been cited by the following article:

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

  AUTHORS: Haiyan Zhang, Fengling Lu

  KEYWORDS: {1, 2, 3}-Reverse, {1, 3, 4}-Reverse, Reverse Order Law, Block-Operator Matrix

  JOURNAL NAME: Applied Mathematics, Vol.8 No.5, May 22, 2017

  ABSTRACT: 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.