Direct sum of lower semi-frames in Hilbert spaces

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Hemalatha Mohanarangan
P. Sam Johnson
Harikrishanan 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.

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How to Cite
Mohanarangan, H., P. Sam Johnson, & Harikrishanan P.K. (2025). Direct sum of lower semi-frames in Hilbert spaces. Gulf Journal of Mathematics, 19(2), 412-423. https://doi.org/10.56947/gjom.v19i2.2803
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