Frames and Operators on Quaternionic Hilbert spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929579427364864 |
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| author | Khachiaa, Najib |
| author_facet | Khachiaa, Najib |
| contents | The aim of this work is to study frame theory in quaternionic Hilbert spaces. We provide a characterization of frames in these spaces through the associated operators. Additionally, we examine frames of the form $\{Lu_i\}_{i \in I}$, where $L$ is a right $\mathbb{H}$-linear bounded operator and $\{u_i\}_{i \in I}$ is a frame. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03790 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Frames and Operators on Quaternionic Hilbert spaces Khachiaa, Najib Functional Analysis 42C15, 42C40, 42A38 The aim of this work is to study frame theory in quaternionic Hilbert spaces. We provide a characterization of frames in these spaces through the associated operators. Additionally, we examine frames of the form $\{Lu_i\}_{i \in I}$, where $L$ is a right $\mathbb{H}$-linear bounded operator and $\{u_i\}_{i \in I}$ is a frame. |
| title | Frames and Operators on Quaternionic Hilbert spaces |
| topic | Functional Analysis 42C15, 42C40, 42A38 |
| url | https://arxiv.org/abs/2411.03790 |