Direct Sum of Lower Semi-Frames in Hilbert Spaces
Functional Analysis
2025-04-18 v1
Abstract
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.
Cite
@article{arxiv.2504.12827,
title = {Direct Sum of Lower Semi-Frames in Hilbert Spaces},
author = {Hemalatha M and P. Sam Johnson and Harikrishnan P. K},
journal= {arXiv preprint arXiv:2504.12827},
year = {2025}
}