relation: http://acta.bibl.u-szeged.hu/75849/
title: Commuting row contractions with polynomial characteristic functions
creator:  Bhattacharjee Monojit
creator:  Haria Kalpesh J.
creator:  Sarkar Jaydeb
subject: 01. Természettudományok
subject: 01.01. Matematika
description: A characteristic function is a special operator-valued analytic function defined on the open unit ball of C n associated with an n-tuple of commuting row contraction on some Hilbert space. In this paper, we continue our study of the representations of n-tuples of commuting row contractions on Hilbert spaces, which have polynomial characteristic functions. Gleason’s problem plays an important role in the representations of row contractions. We further complement the representations of our row contractions by proving theorems concerning factorizations of characteristic functions. We also emphasize the importance and the role of noncommutative operator theory and noncommutative varieties to the classification problem of polynomial characteristic functions.
date: 2021
type: Cikk, tanulmány, mű
type: NonPeerReviewed
format: part
language: hu
identifier: http://acta.bibl.u-szeged.hu/75849/1/math_087_numb_003-004_429-461.pdf
identifier:    Bhattacharjee Monojit;  Haria Kalpesh J.;  Sarkar Jaydeb:   Commuting row contractions with polynomial characteristic functions.  In: Acta scientiarum mathematicarum, (87) 3-4.  pp. 429-461. (2021)   
language: eng