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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.