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http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/11484| Title: | Failure of the wandering subspace property for analytic norm-increasing 3-isometries |
| Authors: | Trivedi, Shailesh |
| Keywords: | Mathematics 3-isometries |
| Issue Date: | 2022 |
| Publisher: | ARXIV |
| 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. |
| URI: | https://arxiv.org/abs/2212.04446 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11484 |
| Appears in Collections: | Department of Mathematics |
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