Titre : [FORTHCOMING] Les opérateurs  <em>A(n, m)</em>-iso-contra-expansifs et quelques applications sur les espaces de Bergman 

Auteurs : Snoun Safa, Sedki Amira
, Gherairi Khadija
,  

Revue : Avancées en Mathématiques Pures et Appliquées 

Numéro : Articles à paraître<br> 

Volume :  

Date : 2025/01/20 

DOI : À venir 

ISSN : 1869-6090 

Résumé : In this paper, we study a new class of operators, so called $$$A(n,m)$$$-iso-contra-expansive operators. These new families of operators are considered as a generalization that combines the $$$m$$$-expansive operators as well as m-contractive operators and the classes of $$$(A,m)$$$-expansive and $$$(A,m)$$$-contractive operators and we recover the notion of $$$n$$$-quasi-$$$(A,m)$$$-isometric operators. Some spectral properties of these kind of operators are provided, we derive also a conditions to have the single-valued extension property (SVEP) and we finish by an application of Toeplitz operators on Bergman spaces. 

Éditeur : ISTE OpenScience