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Products Of EP Operators On Hilbert C*-Modules

Journal: Sahand Communications in Mathematical Analysis (Vol.10, No. 1)

Publication Date:

Authors : ; ;

Page : 61-71

Keywords : Closed range; EP operators; Moore-Penrose inverse; Hilbert $C^*$-module;

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Abstract

In this paper, the special attention is given to the  product of two  modular operators, and when at least one of them is EP, some interesting results is made, so the equivalent conditions are presented  that imply  the product of operators is EP. Also, some conditions are provided, for which the reverse order law is hold. Furthermore, it is proved  that $P(RPQ)$ is idempotent, if $RPQ$† has closed range, for orthogonal projections $P,Q$ and $R$.

Last modified: 2018-06-19 14:27:43