A Note on Exact Frames in Banach Spaces
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.
Authors
- Mina Kumari (ORCID: https://orcid.org/0000-0003-2569-0725)
- Raksha Sharma (ORCID: https://orcid.org/0009-0000-0950-2355)
- B. Semthanga
- Sandeep Kumari
Institutions
- University of Delhi (IN)
- KR Mangalam University (IN)
Publication Details
- Journal
- International Journal of Analysis and Applications
- Published
- 2024-08-20
- DOI
- https://doi.org/10.28924/2291-8639-22-2024-140
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00