On Perturbation of Weighted G−Banach Frames in Banach Spaces

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Authors

  • Ghanshyam Singh Rathore
     Department of Mathematics and Statistics, University College of Science, M.L.S. University, Udaipur ,IN
  • Tripti Mittal
     Department of Mathematics, Dr. Akhilesh Das Gupta, Institute of Technology and Management, G.G.S. Inderprastha University, Delhi ,IN

DOI:

https://doi.org/10.18311/jims/2020/21297

Keywords:

Frame, Banach frame, g−Banach frame
42A38, 42C15, 46B15, 41A58

Abstract

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.

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Published

2020-05-15

How to Cite

Singh Rathore, G., & Mittal, T. (2020). On Perturbation of Weighted <i>G</i>−Banach Frames in Banach Spaces. The Journal of the Indian Mathematical Society, 87(1-2), 114–130. https://doi.org/10.18311/jims/2020/21297

Issue

Volume 87, Issue 1-2, January-June 2020

Section

Articles

License

Copyright (c) 2020 Ghanshyam Singh Rathore, Tripti Mittal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-05-18
Accepted 2023-01-30
Published 2020-05-15

 

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