Direct Sum of Lower Semi-Frames in Hilbert Spaces
Published: Apr 17, 2025
Last Updated: Apr 17, 2025
Authors:Hemalatha M, P. Sam Johnson, Harikrishnan P. K
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.