论文标题
流浪的子空间故障用于分析规范$ 3 $ - iSometries
Failure of the wandering subspace property for analytic norm-increasing $3$-isometries
论文作者
论文摘要
我们在无根的树上构建了一个分析规范，以$ 3 $等级的加权转移，该树没有流浪的子空间属性。这回答了Shimorin [S2001，p。 185]负面。相关的反例是在无根的准布朗尼定向树上建造的。$2。$
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 $2.$
