A Note on Exact Frames in Banach Spaces

Semthanga, B.; Kumari, Mina; Kumari, Sandeep; Sharma, Raksha

doi:10.28924/2291-8639-22-2024-140

Research Article

A Note on Exact Frames in Banach Spaces

B. Semthanga
Mina Kumari
Sandeep Kumari
Raksha Sharma*

* Corresponding author

Abstract

In this article, we have defined µ-exact and finitely exact Banach frames and discuss their existence and relationship. A necessary condition for the existence of a µ-exact Banach frame is given. Also, we discuss quasi-complementary subspaces and prove a result using exact Banach frames. Finally, as an application, we discuss boundedness of an isometry using exact retro Banach frame sequences.

How to Cite

B. Semthanga, M. Kumari, S. Kumari, R. Sharma, A Note on Exact Frames in Banach Spaces, Int. J. Anal. Appl. 22 (2024), 140. https://doi.org/10.28924/2291-8639-22-2024-140

BibTeX

@article{Semthanga2024,
  author  = {Semthanga, B. and Kumari, Mina and Kumari, Sandeep and Sharma, Raksha},
  title   = {A Note on Exact Frames in Banach Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {140},
  doi     = {10.28924/2291-8639-22-2024-140}
}

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