Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
Functional Analysis
2025-11-19 v1
Abstract
In this note, we develop a parallel theory of the classical Sz.-Nagy--Foias dilation and model theory for a single contraction operator in the setting of pairs of \em{{-commuting}} contraction operators for a unimodular complex number .
Cite
@article{arxiv.2511.14239,
title = {Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation},
author = {Sourav Ghosh},
journal= {arXiv preprint arXiv:2511.14239},
year = {2025}
}
Comments
28 pages