Pseudo- Riesz Bases
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911225881821184 |
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| author | Biswas, Deborpita Mitkovski, Mishko |
| author_facet | Biswas, Deborpita Mitkovski, Mishko |
| contents | In~\cite{holub1994bases} Holub introduced the concept of near-Riesz bases, as frames that can be considered Riesz bases for computational purposes or that exhibit certain desirable properties of Riesz bases. In this paper, we introduce a generalization of near-Riesz bases that includes sequences which are not necessarily frames. We demonstrate that this broader class of sequences retains many of the desirable properties of near-Riesz bases and establish fundamental perturbation results for this new class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudo- Riesz Bases Biswas, Deborpita Mitkovski, Mishko Functional Analysis 42C15 In~\cite{holub1994bases} Holub introduced the concept of near-Riesz bases, as frames that can be considered Riesz bases for computational purposes or that exhibit certain desirable properties of Riesz bases. In this paper, we introduce a generalization of near-Riesz bases that includes sequences which are not necessarily frames. We demonstrate that this broader class of sequences retains many of the desirable properties of near-Riesz bases and establish fundamental perturbation results for this new class. |
| title | Pseudo- Riesz Bases |
| topic | Functional Analysis 42C15 |
| url | https://arxiv.org/abs/2510.18993 |