$K-$frames for Super Hilbert Spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912180071301120 |
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| author | Khachiaa, Najib |
| author_facet | Khachiaa, Najib |
| contents | Let $H_1$ and $H_2$ be two Hilbert spaces, $K$ and $L$ be bounded operatrors on $H_1$ and $H_2$ respectively. In this paper we study the relationship between $K$-frames for $H_1$ and $L$-frames for $H_2$ and $K\oplus L$-frames for $H_1\oplus H_2$. The $K\oplus L$-minimal frames and $K\oplus L$-orthonormal bases for $H_1\oplus H_2$ are also studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00857 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $K-$frames for Super Hilbert Spaces Khachiaa, Najib Functional Analysis 42C15, 46L05 Let $H_1$ and $H_2$ be two Hilbert spaces, $K$ and $L$ be bounded operatrors on $H_1$ and $H_2$ respectively. In this paper we study the relationship between $K$-frames for $H_1$ and $L$-frames for $H_2$ and $K\oplus L$-frames for $H_1\oplus H_2$. The $K\oplus L$-minimal frames and $K\oplus L$-orthonormal bases for $H_1\oplus H_2$ are also studied. |
| title | $K-$frames for Super Hilbert Spaces |
| topic | Functional Analysis 42C15, 46L05 |
| url | https://arxiv.org/abs/2407.00857 |