A Recursive approach to the matrix moment problem
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913181250617344 |
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| author | Curto, R. Ech-charyfy, A. Idrissi, K. Zerouali, E. H. |
| author_facet | Curto, R. Ech-charyfy, A. Idrissi, K. Zerouali, E. H. |
| contents | In this paper, we study the truncated matrix moment problem in one variable through recursive matrix extensions. \ We give necessary and sufficient conditions for a recursive matrix extension of finite data to be a matrix moment sequence in the classical cases of Hamburger, Stieltjes, and Hausdorff moment problems. \ We also discuss matricial subnormal completion and matricial $k$--hyponormal completion problems and provide an analog of Stampfli's Theorem on flat propagation for $2$--hyponormal matricial weighted shifts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01630 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Recursive approach to the matrix moment problem Curto, R. Ech-charyfy, A. Idrissi, K. Zerouali, E. H. Functional Analysis 44A60 (primary), 47A57 (secondary) In this paper, we study the truncated matrix moment problem in one variable through recursive matrix extensions. \ We give necessary and sufficient conditions for a recursive matrix extension of finite data to be a matrix moment sequence in the classical cases of Hamburger, Stieltjes, and Hausdorff moment problems. \ We also discuss matricial subnormal completion and matricial $k$--hyponormal completion problems and provide an analog of Stampfli's Theorem on flat propagation for $2$--hyponormal matricial weighted shifts. |
| title | A Recursive approach to the matrix moment problem |
| topic | Functional Analysis 44A60 (primary), 47A57 (secondary) |
| url | https://arxiv.org/abs/2209.01630 |