The purpose of the present paper is to pursue further study of a class of linear bounded
operators, known as n-quasi-m-isometric operators acting on an infinite complex separable …

A note on partial-A-isometries and some applications Page 1 Quaestiones Mathematicae 2023:
1–21. This is the final version of the article that is c⃝ 2023 NISC (Pty) Ltd published ahead of …

A great deal of excellent work has been done for partial isometries. Thanks to early work of I.
Erdélyi & PR Halmos, among others; they have played a fundamental role in structural study …

The purpose of this paper is to present in Hilbert spaces some results for a new class of
operators called semi-generalized partial isometries which include two important classes in …

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) …

The study of tuples of commuting operators was the subject of intensive study by many
authors. Our aim in this work is to consider a generalization of the notions of m-partial …

In this paper, we extend the concepts of m-partial isometry of order q and (m, A)-isometry,
building on the contributions of Aouichaoui MA.[A note on partial-A-isometries and some …

In order to extend the notion of semi-generalized partial isometries and partial isometries,
we introduce a new class of operators called polynomially partial isometries. Since this new …

Let H be a complex infinite-dimensional Hilbert space. Given a positive integer m, a
bounded linear operator T on H is called m-selfadjoint if∑ k= 0 m (-1) kmk T∗ mk T k= 0, and …

The aim of this paper is to introduce a new class operator on Hilbert space. The operator
𝒦∈ ℬ (ℋ) is said to be n-power partial isometric operators if 𝒦n𝒦∗ 𝒦= 𝒦n for all n≥ 1 …