Continuous K-biframes in Hilbert spaces and their tensor products
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911789008027648 |
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| author | Ghosh, Prasenjit Samanta, T. K. |
| author_facet | Ghosh, Prasenjit Samanta, T. K. |
| contents | A generalization of continuous biframe in a Hilbert space is introduced and a few examples are discussed. Some characterizations and algebraic properties of this biframe are given. Here we also construct various types of continuous K-biframes with the help of a bounded linear operator. Relationship between continuous K-biframe and quotient operator is established. Finally, we define continuous K-biframe for the tensor products of Hilbert spaces and give an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04257 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuous K-biframes in Hilbert spaces and their tensor products Ghosh, Prasenjit Samanta, T. K. Functional Analysis Primary 42C15, Secondary 46C07, 46C50 A generalization of continuous biframe in a Hilbert space is introduced and a few examples are discussed. Some characterizations and algebraic properties of this biframe are given. Here we also construct various types of continuous K-biframes with the help of a bounded linear operator. Relationship between continuous K-biframe and quotient operator is established. Finally, we define continuous K-biframe for the tensor products of Hilbert spaces and give an example. |
| title | Continuous K-biframes in Hilbert spaces and their tensor products |
| topic | Functional Analysis Primary 42C15, Secondary 46C07, 46C50 |
| url | https://arxiv.org/abs/2402.04257 |