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arXiv · 1812.02838

Some results on higher orders quasi-isometries

Sid Ahmed Ould Ahmed Mahmoud·Adel Saddi·Khadija Gherairi
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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.

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Sid Ahmed Ould Ahmed Mahmoud, Adel Saddi, Khadija Gherairi. 2018-12-06. Some results on higher orders quasi-isometries. https://arxiv.org/abs/1812.02838

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