Some results on Higher orders quasi-isometries

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.