The q-commuting contractions and *-regular dilations

2025/08/13 by Tomar, Nitin · 2 citations
#47A20 #47B02 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2508.09658

Abstract

We introduce the notion of *-regular dilation for q-commuting tuples of contractions and generalize the results due to Gaspar-Suciu and Timotin on commuting contractions.

Citations

• Theory of q-commuting contractions-II: Regular dilation, Brehmer's positivity and von Neumann's inequality
• Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions
• A generalization of Ando's dilation, and isometric dilations for a class of tuples of q-commuting contractions
• Orthogonal decompositions and twisted isometries II
• Models for q-commutative tuples of isometries
• On q-commuting co-extensions and q-commutant lifting
• Orthogonal decompositions and twisted isometries
• Standard dilations of q-commuting tuples

Cited by

• Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
• On the diversity of twisted commuting operators

Related

• Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions
• A generalization of Ando's dilation, and isometric dilations for a class of tuples of q-commuting contractions
• Standard dilations of q-commuting tuples
• Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
• On a generalization of Ando's dilation theorem