$E$-$g$-frames
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916085071085568 |
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| author | Hedayatirad, H. Shateri, T. L. |
| author_facet | Hedayatirad, H. Shateri, T. L. |
| contents | In the present paper, we introduce the notion of $E$-$g$-frames for a separable Hilbert spaces $\mathcal H$, where $E$ is an invertible infinite matrix mapping on the Hilbert space $\mathop\oplus\limits_{n=1}^{\infty}\mathcal H_n$. We study some prperties of $E$-$g$-frames. First, we give a result concerning perturbation of $E$-$g$-frames and then use it to construct $E$-$g$-frames in separable Hilbert spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03678 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $E$-$g$-frames Hedayatirad, H. Shateri, T. L. Functional Analysis 42C15, 54D55 In the present paper, we introduce the notion of $E$-$g$-frames for a separable Hilbert spaces $\mathcal H$, where $E$ is an invertible infinite matrix mapping on the Hilbert space $\mathop\oplus\limits_{n=1}^{\infty}\mathcal H_n$. We study some prperties of $E$-$g$-frames. First, we give a result concerning perturbation of $E$-$g$-frames and then use it to construct $E$-$g$-frames in separable Hilbert spaces. |
| title | $E$-$g$-frames |
| topic | Functional Analysis 42C15, 54D55 |
| url | https://arxiv.org/abs/2401.03678 |