Subnormal and completely hyperexpansive completion problem of weighted shifts on directed trees
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866909270930358272 |
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| author | Buchała, Michał |
| author_facet | Buchała, Michał |
| contents | For a given directed tree and weights associated with vertices from a subtree the completion problem is to determine if these weights may be completed in a way to obtain a bounded weighted shift on the whole tree, which possibly satisfies also some more restrictive conditions. In this paper we consider subnormal and completely hyper-expansive completion problem for weighted shifts on directed trees with one branching point. We develop new results on backward extensions of truncated moment sequences and, exploiting these results, we obtain a characterization of existence of such a completion |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_01593 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Subnormal and completely hyperexpansive completion problem of weighted shifts on directed trees Buchała, Michał Functional Analysis 47B37, 47B20, 44A60 For a given directed tree and weights associated with vertices from a subtree the completion problem is to determine if these weights may be completed in a way to obtain a bounded weighted shift on the whole tree, which possibly satisfies also some more restrictive conditions. In this paper we consider subnormal and completely hyper-expansive completion problem for weighted shifts on directed trees with one branching point. We develop new results on backward extensions of truncated moment sequences and, exploiting these results, we obtain a characterization of existence of such a completion |
| title | Subnormal and completely hyperexpansive completion problem of weighted shifts on directed trees |
| topic | Functional Analysis 47B37, 47B20, 44A60 |
| url | https://arxiv.org/abs/2207.01593 |