Direct Sum of Lower Semi-Frames in Hilbert Spaces

Published 17 Apr 2025 in math.FA | (2504.12827v1)

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.

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