Some results on higher orders quasi-isometries
Functional Analysis
2018-12-10 v1
Abstract
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 Hilbert space H. This generalizes the class of m-isometric operators on Hilbert space introduced by Agler and Stankus in [1]. The class of n-quasi-m-isometric operators was defined by S. Mecheri and T. Prasad in [18] , where they have given some of their properties. Based, mainly, on [2], [3], [5] and [9], we contribute some other properties of such operators.
Keywords
Cite
@article{arxiv.1812.02838,
title = {Some results on higher orders quasi-isometries},
author = {Sid Ahmed Ould Ahmed Mahmoud and Adel Saddi and Khadija Gherairi},
journal= {arXiv preprint arXiv:1812.02838},
year = {2018}
}