A note on the reverse order law for least squareg-inverse of operator product

Zhiping Xiong, Yingying Qin · Linear and Multilinear Algebra · 2015

In this paper, we study the reverse order law for the least square -inverse of an operator product using the technique of matrix form of bounded linear operators. In particular, some necessary and sufficient conditions for theinclusions and are presented. Moreover, some finite dimensional results are extended to infinite dimensional settings.

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