On Perturbation of Weighted G−Banach Frames in Banach Spaces

In the present paper, we study perturbation of weighted <em>g</em>−Banach frames in Banach spaces and obtain perturbation results for weighted <em>g</em>−Banach frames. Also, sufficient conditions for the perturbation of weighted <em>g</em>−Banach frames by positively confined sequence of scalars and uniformly scaled version of a given weighted <em>g</em>−Banach Bessel sequence have been given. Finally, we give a condition under which the sum of finite number of sequences of operators is a weighted <em>g</em>−Banach frame by comparing each of the sequences with another system of weighted <em>g</em>−Banach frames in Banach spaces.