Multipliers of generalized frames in Hilbert spaces

In this paper, we introduce the concept of g-Bessel multipliers which generalizes Bessel multipliers for g-Bessel sequences and we study the properties of g-Bessel multipliers . Also, we review the behavior of these operators when the parameters are changing. Furthermore, we show that equivalent g-frames have equivalent multipliers and conversely. Finally, we specialize the results to fusion frames.