Continuous bi-g-frames for operators in Hilbert spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910410857250816 |
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| author | Karara, Abdelilah Rossafi, Mohamed |
| author_facet | Karara, Abdelilah Rossafi, Mohamed |
| contents | In this paper, we will introduce the new concepts of continuous bi-g-frames and continuous K-bi-g-frame for Hilbert spaces. Then, we examine some characterizations properties with the help of a biframe operator. Finally, we investigate several results about the stability of continuous bi-g-Bessel sequence and K-bi-g-frame are produced via the use of frame theory methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuous bi-g-frames for operators in Hilbert spaces Karara, Abdelilah Rossafi, Mohamed Functional Analysis 42C15, 46C05, 47B90 In this paper, we will introduce the new concepts of continuous bi-g-frames and continuous K-bi-g-frame for Hilbert spaces. Then, we examine some characterizations properties with the help of a biframe operator. Finally, we investigate several results about the stability of continuous bi-g-Bessel sequence and K-bi-g-frame are produced via the use of frame theory methods. |
| title | Continuous bi-g-frames for operators in Hilbert spaces |
| topic | Functional Analysis 42C15, 46C05, 47B90 |
| url | https://arxiv.org/abs/2404.09743 |