A certain rational function and operator theory on the symmetrized polydisc
type: Item
instance of: scholarly article
title: A certain rational function and operator theory on the symmetrized polydisc
author: Bappa Bisai
author: Sourav Pal
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-02-25T00:00:00Z
Mathematics Subject Classification ID: 47-XX
zbMATH DE Number: 7315380
zbMATH Keywords: symmetrized polydisc
zbMATH Keywords: distinguished boundary
zbMATH Keywords: \( \Gamma_n\)-contraction
zbMATH Keywords: Costara's rational function
zbMATH Keywords: \( \Gamma_n\)-isometry
zbMATH Keywords: \(\Gamma_n\)-unitary
MaRDI profile type: Publication
full work available at URL: j.jmaa.2020.124714
OpenAlex ID: W3094233193
cites work: A commutant lifting theorem for a domain in \(\mathbb{C}^2\) and spectral interpolation
cites work: Q4422048
cites work: On Joint Hyponormality of Operators
cites work: Some new observations on interpolation in the spectral unit ball
cites work: Dilations of \(\varGamma\)-contractions by solving operator equations
cites work: A functional model for pure $\Gamma$-contractions
cites work: Functional models of \(\Gamma_n\)-contractions and characterization of \(\Gamma_n\)-isometries
cites work: THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM
cites work: On the spectral Nevanlinna–Pick problem
cites work: Q4284563
cites work: Geometry of the symmetrized polydisc
cites work: A Note on Hyponormal Weighted Shifts
cites work: A course in \(H_{\infty}\) control theory
cites work: Q5615632
cites work: From Stinespring dilation to Sz.-Nagy dilation on the symmetrized bidisc and operator models
cites work: On decomposition of operators having Γ_3 as a spectral set
cites work: Canonical decomposition of operators associated with the symmetrized polydisc
cites work: Spectral sets and distinguished varieties in the symmetrized bidisc
cites work: Q4787522
cites work: The analytic-functional calculus for several commuting operators
cites work: A joint spectrum for several commuting operators
cites work: Q3958979
DOI: 10.1016/J.JMAA.2020.124714
description: scientific article; zbMATH DE number 7315380