∗عملگر مدولی

The aim of this paper is to investigate the closed-ness of the range of the modular operators in Hilbert C*-modules. We present the conditions that, the reverse order law for the closed range modular operators and modular projections be holds. Also, we prove that, for modular operators A and B with closed ranges, if BA=0 then A†B† =0. Moreover, we give a novel characterization of the normal modular operators in Hilbert C*-modules.