若干类 $2$-等距算子的酉不变量的完全系统
泛函分析
2018-06-11 v1
摘要
刻画了满足所谓核条件（kernel condition）的 -等距算子的酉等价。这依赖于建立在这类算子上的基于算子值单边加权移位（operator valued unilateral weighted shifts）的模型，以及在相当一般背景下算子值单边加权移位的酉等价刻画。给出了满足核条件的有根有向树上 -等距加权移位的酉不变量完全系统。它以纯粹的图论语言表述，即在某些生成分支度（generation branching degrees）方面。还研究了 -等距的 Cauchy 对偶算子在 与 类中的隶属关系。
引用
@article{arxiv.1806.03229,
title = {Complete systems of unitary invariants for some classes of $2$-isometries},
author = {Akash Anand and Sameer Chavan and Zenon Jan Jabłoński and Jan Stochel},
journal= {arXiv preprint arXiv:1806.03229},
year = {2018}
}
备注
The paper has 25 pages and 2 figures. It is the second part of arXiv:1702.01264v3 [math.FA] which focuses on unitary equivalence of some classes of $2$-isometries