Controlled *-G-Frames and their *-G-Multipliers IN Hilbert C*-Modules

In this paper we introduce controlled *-g-frame and *-g-multipliers in Hilbert C*-modules and investigate the properties. We demonstrate that any controlled *-g-frame is equivalent to a *-g-frame and define multipliers for (C,C')- controlled*-g-frames .

Keywords:

*-g-multiplier , controlled *-g-frame , controlled *-g-Bessel sequence , (C-C') -controlled *-g-frame , (C-C') -controlled *-g-multiplier operator