Direct Sum of Lower Semi-Frames in Hilbert Spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908324398628864 |
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| author | M, Hemalatha Johnson, P. Sam K, Harikrishnan P. |
| author_facet | M, Hemalatha Johnson, P. Sam K, Harikrishnan P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct Sum of Lower Semi-Frames in Hilbert Spaces M, Hemalatha Johnson, P. Sam K, Harikrishnan P. Functional Analysis 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. |
| title | Direct Sum of Lower Semi-Frames in Hilbert Spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2504.12827 |