q-交换压缩算子的理论：联合约化子空间与正交分解
泛函分析
2024-07-30 v3
摘要
文献中已有若干与交换压缩算子的典范分解相关的结果。本文将其中部分结果推广到-交换压缩算子。此处我们主要处理当为一族酉算子时的-交换与双重-交换压缩算子。
引用
@article{arxiv.2211.01530,
title = {Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions},
author = {Sourav Pal and Prajakta Sahasrabuddhe and Nitin Tomar},
journal= {arXiv preprint arXiv:2211.01530},
year = {2024}
}
备注
The previous version of the (long) draft has been divided into three parts and the present paper is one of them. The other two parts will appear soon in ArXiv