Failure of the wandering subspace property for analytic norm-increasing 3-isometries
| dc.contributor.author | Trivedi, Shailesh | |
| dc.date.accessioned | 2023-08-17T10:57:03Z | |
| dc.date.available | 2023-08-17T10:57:03Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We construct an analytic norm-increasing 3-isometric weighted shift on a rootless directed tree, which does not have the wandering subspace property. This answers a question of Shimorin [S2001, p. 185] in the negative. The counterexample in question is built over the rootless quasi-Brownian directed tree of valency 2. | en_US |
| dc.identifier.uri | https://arxiv.org/abs/2212.04446 | |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11484 | |
| dc.language.iso | en | en_US |
| dc.publisher | ARXIV | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | 3-isometries | en_US |
| dc.title | Failure of the wandering subspace property for analytic norm-increasing 3-isometries | en_US |
| dc.type | Article | en_US |
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