Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866910318502871040 |
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| author | Karara, Abdelilah Rossafi, Mohamed Klilou, Mohammed Kabbaj, Samir |
| author_facet | Karara, Abdelilah Rossafi, Mohamed Klilou, Mohammed Kabbaj, Samir |
| contents | In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert$C^{\ast}$-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on $\mathcal{H}$, under which new continuous K-g-frames can be retrieved from those that already exist. Additionally, we discuss the sum of continuous K-g-frames, discover some of their characterizations, and offer some adjointable operators to construct new continuous K-g-frames from the previous ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02291 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules Karara, Abdelilah Rossafi, Mohamed Klilou, Mohammed Kabbaj, Samir Functional Analysis Primary: 42C15, Secondary: 47A05 In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert$C^{\ast}$-Modules. We provide certain necessary and sufficient conditions for some adjointable operators on $\mathcal{H}$, under which new continuous K-g-frames can be retrieved from those that already exist. Additionally, we discuss the sum of continuous K-g-frames, discover some of their characterizations, and offer some adjointable operators to construct new continuous K-g-frames from the previous ones. |
| title | Construction of continuous K-g-Frames in Hilbert $C^{\ast}$-Modules |
| topic | Functional Analysis Primary: 42C15, Secondary: 47A05 |
| url | https://arxiv.org/abs/2402.02291 |