n-quasi-A-(m,q)-isometry on a Banach space

Abstract

In this paper, we introduce the class of $ n $-quasi-$ A $-$ (m, q) $-isometry operators on a Banach space $ X $, which represents a generalization of the $ n $-quasi-$ (m, q) $-isometry on a Banach space and the $ n $-quasi-$ (A, m) $-isometry on a Hilbert space. After giving some basic properties of this class of operators, we study the product and the power of such operators in this class.

Keywords

• $ m $-isometry
• $ (m
• q) $-isometry
• $ n $-quasi-$ a $-$ (m