Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation

Fuente: arXiv
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Autor principal: Ghosh, Sourav
Formato: Preprint
Publicado: 2025
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author Ghosh, Sourav
author_facet Ghosh, Sourav
contents 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{$q$-commuting} contraction operators for a unimodular complex number $q$.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14239
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
Ghosh, Sourav
Functional Analysis
(2020) Primary: 47A13, Secondary: 47A20, 47A25, 47A56, 47A68, 30H10
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{$q$-commuting} contraction operators for a unimodular complex number $q$.
title Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
topic Functional Analysis
(2020) Primary: 47A13, Secondary: 47A20, 47A25, 47A56, 47A68, 30H10
url https://arxiv.org/abs/2511.14239