Introduction of frame in tensor product of n-Hilbert spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866909128870330368 |
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| author | Ghosh, Prasenjit Samanta, Tapas Kumar |
| author_facet | Ghosh, Prasenjit Samanta, Tapas Kumar |
| contents | We study the concept of frame in tensor product of n-Hilbert spaces as tensor product of n-Hilbert spaces is again a n-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space. A relationship between frame and bounded linear operator in tensor product of n-Hilbert spaces is studied. Finally, the dual frame in tensor product of n-Hilbert spaces is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_01938 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Introduction of frame in tensor product of n-Hilbert spaces Ghosh, Prasenjit Samanta, Tapas Kumar Functional Analysis 42C15, 46C07, 46C50 We study the concept of frame in tensor product of n-Hilbert spaces as tensor product of n-Hilbert spaces is again a n-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space. A relationship between frame and bounded linear operator in tensor product of n-Hilbert spaces is studied. Finally, the dual frame in tensor product of n-Hilbert spaces is discussed. |
| title | Introduction of frame in tensor product of n-Hilbert spaces |
| topic | Functional Analysis 42C15, 46C07, 46C50 |
| url | https://arxiv.org/abs/2101.01938 |