Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions
arXiv:2211.01530
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.
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