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On Perturbation of Weighted G−Banach Frames in Banach Spaces
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In the present paper, we study perturbation of weighted g−Banach frames in Banach spaces and obtain perturbation results for weighted g−Banach frames. Also, sufficient conditions for the perturbation of weighted g−Banach frames by positively confined sequence of scalars and uniformly scaled version of a given weighted g−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 g−Banach frame by comparing each of the sequences with another system of weighted g−Banach frames in Banach spaces.
Keywords
Frame, Banach Frame, g−Banach Frame.
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