Continuous generalized atomic subspaces for operators in Hilbert spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866929490207178752 |
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| author | Rossafi, Mohamed Nhari, Fakhr-dine Touri, Abdeslam |
| author_facet | Rossafi, Mohamed Nhari, Fakhr-dine Touri, Abdeslam |
| contents | In this paper, we introduce the concept of continuous $g-$atomic subspace for a bounded linear operator and gives several useful continuous resolution of the identity operator on a Hilbert space by implies the theory of continuous $g-$fusion frames. Moreover, we introduce the concept of continuous frame operator for a pair of continuous $g-$fusion bessel sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_03108 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Continuous generalized atomic subspaces for operators in Hilbert spaces Rossafi, Mohamed Nhari, Fakhr-dine Touri, Abdeslam Functional Analysis 41A58, 42C15 In this paper, we introduce the concept of continuous $g-$atomic subspace for a bounded linear operator and gives several useful continuous resolution of the identity operator on a Hilbert space by implies the theory of continuous $g-$fusion frames. Moreover, we introduce the concept of continuous frame operator for a pair of continuous $g-$fusion bessel sequences. |
| title | Continuous generalized atomic subspaces for operators in Hilbert spaces |
| topic | Functional Analysis 41A58, 42C15 |
| url | https://arxiv.org/abs/2306.03108 |