HIGH ORDER ISOMETRIC LIFTINGS AND DILATIONS

Badea, Cătălin; Müller, Vladimir; Suciu, Laurian

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.4064/sm200330-25-8

Title :

HIGH ORDER ISOMETRIC LIFTINGS AND DILATIONS

Author(s) :

Badea, Cătălin [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Müller, Vladimir [Auteur]
Czech Academy of Sciences [Prague] [CAS]
Suciu, Laurian [Auteur]
Universitatea "Lucian Blaga" Sibiu

Journal title :

Studia Mathematica

Pages :

87-101

Publisher :

Instytut Matematyczny - Polska Akademii Nauk

Publication date :

2021-08-23

ISSN :

0039-3223

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

We show that a Hilbert space bounded linear operator has an m-isometric lifting for some integer m greater or equal than 1 if and only if the norms of its powers grow polynomially. In analogy with unitary dilations of ...
Show more >We show that a Hilbert space bounded linear operator has an m-isometric lifting for some integer m greater or equal than 1 if and only if the norms of its powers grow polynomially. In analogy with unitary dilations of contractions, we prove that such operators also have an invertible m-isometric dilation. We also study 2-isometric liftings of convex operators and 3-isometric liftings of Foguel-Hankel type operators.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions
Frontières de la théorie des opérateurs

Collections :