Direct sum of lower semi-frames in Hilbert spaces
In this paper, structural properties of lower semi-frames in separable Hilbert spaces are explored with a focus on transformations under linear operators (may be unbounded). Also, the direct sum of lower semi-frames, providing necessary and sufficient conditions for the preservation of lower semi-frame structure, is examined.
Authors
- Harikrishanan P.K.
- P. Sam Johnson (ORCID: https://orcid.org/0000-0003-3461-5380)
- Hemalatha Mohanarangan
Institutions
- National Institute of Technology Karnataka (IN)
- Manipal Academy of Higher Education (IN)
Publication Details
- Journal
- Gulf Journal of Mathematics
- Published
- 2025-04-17
- DOI
- https://doi.org/10.56947/gjom.v19i2.2803
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Arthritis National Research Foundation
- Department of Science and Technology, Ministry of Science and Technology, India
- National Institute of Technology Karnataka, Surathkal
- Science and Engineering Research Board