Affiliation:
1. Institut préparatoire aux études d’ingénieurs de Monastir, Département de Mathématiques Rue Ibn Eljazzar, Monastir, Tunisia
2. Faculté des Sciences de Monastir, Département de Mathématiques Avenue de l’environnement, Monastir, Tunisia
Abstract
Asignificant amount of elegant work has been accomplished in the study of
partial isometries. In this article, weintroduce a new class of operators,
referred to as the (k,m,n)-partial isometries, which extends the concept of
partial isometry. We delve into the most intriguing outcomes related to this
class by extending previously established results for partial isometries and
by exploring new results on partial isometries. We investigate the
relationship of this new class of operators with classical notions of
operators, such as partial isometries, power partial isometries, paranormal,
semi-regular, and quasi-Fredholm. Additionally, we examine some fundamental
properties and structure theorems of (k,m,n)-partial isometries.
Furthermore, we provide spectral properties of (k,m,n)-partial isometries.
Publisher
National Library of Serbia
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