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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.16933 |
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| _version_ | 1866912285697507328 |
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| author | Bhattacharjee, Monojit Gupta, Rajeev Venugopal, Vidhya |
| author_facet | Bhattacharjee, Monojit Gupta, Rajeev Venugopal, Vidhya |
| contents | In this article, we prove that any pair of doubly commuting $2$-isometries on a Hilbert space has a Wold-type decomposition. Moreover, the analytic part of the pair is unitary equivalent to the pair of multiplication by coordinate function on a Dirichlet-type space on the bidisc. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wold-type decomposition for Doubly commuting two-isometries Bhattacharjee, Monojit Gupta, Rajeev Venugopal, Vidhya Functional Analysis Primary 46E20, 47B32, 47B38 In this article, we prove that any pair of doubly commuting $2$-isometries on a Hilbert space has a Wold-type decomposition. Moreover, the analytic part of the pair is unitary equivalent to the pair of multiplication by coordinate function on a Dirichlet-type space on the bidisc. |
| title | Wold-type decomposition for Doubly commuting two-isometries |
| topic | Functional Analysis Primary 46E20, 47B32, 47B38 |
| url | https://arxiv.org/abs/2503.16933 |