On n-quasi-(m,q)-isometric operators on a Banach space
On n-quasi-(m,q)-isometric operators on a Banach space
Abstract In this paper, we introduce the class of n-quasi-m-isometric op-erators on a Banach space. Such a class seems to be a natural generalizationof m-isometric operators on Banach spaces and of n-quasi-m-isometric oper-ators on Hilbert spaces. We start by giving some of their elementary prop-erties, studying the products and the …