A criterion of contractivity for four by ...
Type de document :
Pré-publication ou Document de travail
URL permanente :
Titre :
A criterion of contractivity for four by four matrices and applications to model operators
Auteur(s) :
Mot(s)-clé(s) en anglais :
Functional analysis
Operator theory
Matrix
Model operators
Operator theory
Matrix
Model operators
Discipline(s) HAL :
Mathématiques [math]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Résumé en anglais : [en]
We establish an explicit criterion for determining whether a $4 \times 4$ upper-triangularmatrix is a contraction with respect to the Euclidean operator norm. Following this,we present a characterization of the matrix ...
Lire la suite >We establish an explicit criterion for determining whether a $4 \times 4$ upper-triangularmatrix is a contraction with respect to the Euclidean operator norm. Following this,we present a characterization of the matrix representation of a finite-dimensionalmodel operator acting on the space $H^2\left(\mathbb{D}\right) ⊖ uH^2\left(\mathbb{D}\right)$. Here, $u$ denotes a finite Blaschke product of degree $n$. We prove that the model matrix, when written inthe Takenaka-Malmquist-Walsh basis, is the only $n \times n$ contractive matrix with prescribed main and upper diagonals.Lire moins >
Lire la suite >We establish an explicit criterion for determining whether a $4 \times 4$ upper-triangularmatrix is a contraction with respect to the Euclidean operator norm. Following this,we present a characterization of the matrix representation of a finite-dimensionalmodel operator acting on the space $H^2\left(\mathbb{D}\right) ⊖ uH^2\left(\mathbb{D}\right)$. Here, $u$ denotes a finite Blaschke product of degree $n$. We prove that the model matrix, when written inthe Takenaka-Malmquist-Walsh basis, is the only $n \times n$ contractive matrix with prescribed main and upper diagonals.Lire moins >
Langue :
Anglais
Collections :
Source :
Date de dépôt :
2024-05-03T04:54:08Z
Fichiers
- document
- Accès libre
- Accéder au document
- axel-26-avril-deuxieme_article.pdf
- Accès libre
- Accéder au document
- criterion_contractive_4_by_4_matrices_and_applications_model_operators.zip
- Accès libre
- Accéder au document