Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions
Functional Analysis
2024-07-30 v3
Abstract
In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to -commuting contractions. Here we mainly deal with -commuting and doubly -commuting contractions when is a family of unitary operators.
Keywords
Cite
@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}
}
Comments
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