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Mittal, Tripti
- On Perturbation of Weighted G−Banach Frames in Banach Spaces
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Authors
Affiliations
1 Department of Mathematics and Statistics, University College of Science, M.L.S. University, Udaipur, IN
2 Department of Mathematics, Dr. Akhilesh Das Gupta, Institute of Technology and Management, G.G.S. Inderprastha University, Delhi, IN
1 Department of Mathematics and Statistics, University College of Science, M.L.S. University, Udaipur, IN
2 Department of Mathematics, Dr. Akhilesh Das Gupta, Institute of Technology and Management, G.G.S. Inderprastha University, Delhi, IN
Source
The Journal of the Indian Mathematical Society, Vol 87, No 1-2 (2020), Pagination: 114–130Abstract
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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