Failure of the wandering subspace property for analytic norm-increasing $3$-isometries
Functional Analysis
2023-09-26 v3
Abstract
We construct an analytic norm-increasing -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
Cite
@article{arxiv.2212.04446,
title = {Failure of the wandering subspace property for analytic norm-increasing $3$-isometries},
author = {Sameer Chavan and Shailesh Trivedi},
journal= {arXiv preprint arXiv:2212.04446},
year = {2023}
}
Comments
There is a gap in the proof of the main result. Therefore we withdraw this paper