On sum of g-frames in hilbert spaces

الملخص EN

We consider the sum of finite number of g-frames for a Hilbert space H and observed that their sum need not be a g-frame.

A necessary and sufficient condition for the sum of two g-frames to be a g-frame has been obtained.

Also, we study the sum of finite number of g-Bessel sequences and obtained some results regarding sum of g-Bessel sequences.