Generalized atomic subspaces for operators in Hilbert spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866917608583856128 |
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| author | Ghosh, Prasenjit Samanta, T. K. |
| author_facet | Ghosh, Prasenjit Samanta, T. K. |
| contents | We introduce the notion of a g-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of g-fusion frames. Also we shall describe the concept of frame operator for a pair of g-fusion Bessel sequences and some of their properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_01965 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Generalized atomic subspaces for operators in Hilbert spaces Ghosh, Prasenjit Samanta, T. K. Functional Analysis Primary 42C15, Secondary 46C07 We introduce the notion of a g-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of g-fusion frames. Also we shall describe the concept of frame operator for a pair of g-fusion Bessel sequences and some of their properties. |
| title | Generalized atomic subspaces for operators in Hilbert spaces |
| topic | Functional Analysis Primary 42C15, Secondary 46C07 |
| url | https://arxiv.org/abs/2102.01965 |