Failure of the wandering subspace property for analytic norm-increasing 3-isometries
No Thumbnail Available
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
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.
Description
Keywords
Mathematics, 3-isometries