A Note on Exact Frames in Banach Spaces

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DOI: https://doi.org/10.28924/2291-8639-22-2024-140
Published: Aug 20, 2024
Cite as:
B. Semthanga, Mina Kumari, Sandeep Kumari, Raksha Sharma, A Note on Exact Frames in Banach Spaces, Int. J. Anal. Appl., 22 (2024), 140.

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

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.

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