Continuous $K$-$g$-frames in Hilbert $C^*$-modules
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Acceso en línea: | |
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| _version_ | 1866916422948487168 |
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| author | Cheshmavar, Jahangir Baradaran, Javad Hossienpour, Asadollah |
| author_facet | Cheshmavar, Jahangir Baradaran, Javad Hossienpour, Asadollah |
| contents | This study aims at combining the concepts of $g$-frame and $K$-frame for a Hilbert $C^*$-module $U$, for an operator $K \in End^*_A(U)$, where $End^*_A(U)$ contains all adjointable $A$-linear maps on $U$. As a result, continuous $K$-$g$-frames for Hilbert $C^*$-modules are introduced and studied. Subsequently, some characterizations of continuous $K$-$g$-frames in Hilbert $C^*$-modules are proved. Next, continuous $K$-$g$-dual of a $c$-$K$-$g$-frame is introduced. Finally, some results, particularly, the existence of continuous $K$-$g$-dual, are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_04543 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Continuous $K$-$g$-frames in Hilbert $C^*$-modules Cheshmavar, Jahangir Baradaran, Javad Hossienpour, Asadollah Functional Analysis This study aims at combining the concepts of $g$-frame and $K$-frame for a Hilbert $C^*$-module $U$, for an operator $K \in End^*_A(U)$, where $End^*_A(U)$ contains all adjointable $A$-linear maps on $U$. As a result, continuous $K$-$g$-frames for Hilbert $C^*$-modules are introduced and studied. Subsequently, some characterizations of continuous $K$-$g$-frames in Hilbert $C^*$-modules are proved. Next, continuous $K$-$g$-dual of a $c$-$K$-$g$-frame is introduced. Finally, some results, particularly, the existence of continuous $K$-$g$-dual, are derived. |
| title | Continuous $K$-$g$-frames in Hilbert $C^*$-modules |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2006.04543 |