Power partial isometries
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913818839351296 |
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| author | Babbar, Kritika Maji, Amit |
| author_facet | Babbar, Kritika Maji, Amit |
| contents | In this paper we obtain a complete characterization of reducing, invariant, and hyperinvariant subspaces for the completely non-unitary component of a power partial isometry. In particular, precise characterization of reducing, invariant, and hyperinvariant subspaces of a truncated shift operator has been achieved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22707 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Power partial isometries Babbar, Kritika Maji, Amit Functional Analysis Complex Variables Operator Algebras 47A15, 47A45, 47A65, 47A20, 46E22, 46E40, 47B35, 47B32 In this paper we obtain a complete characterization of reducing, invariant, and hyperinvariant subspaces for the completely non-unitary component of a power partial isometry. In particular, precise characterization of reducing, invariant, and hyperinvariant subspaces of a truncated shift operator has been achieved. |
| title | Power partial isometries |
| topic | Functional Analysis Complex Variables Operator Algebras 47A15, 47A45, 47A65, 47A20, 46E22, 46E40, 47B35, 47B32 |
| url | https://arxiv.org/abs/2503.22707 |