An operator T on a Banach space X is called an (m, p)-isometry if it satisfies the equality∑
k= 0mmk (-1) mk‖ Tkx‖ p= 0, for all x∈ X. In this paper we prove that if T is an (n, p) …

We prove that if an isometry A and a nilpotent operator Q of order n commute, then A+ Q is a
strict (2n− 1)-isometry. As an application of the main result, we prove that A+ Q cannot be N …

The m-isometry of a single operator in Agler and Stankus [3] was naturally generalized to the
m-isometric tuple of several commuting operators by Gleason and Richter [22]. Some …

In this paper we propose a different (and equivalent) norm on which consists of functions
whose derivatives are in the Hardy space of unit disk. The reproducing kernel of in this norm …

POWERS OF m-ISOMETRIES 1. Introduction The m-isometric operators on a Hilbert space H
have been introduced in the paper [1]. Giv Page 1 POWERS OF m-ISOMETRIES TERESA …

The study of m-isometry elementary operator of length one is initiated by Botelho and
Jamison. Several authors have contributed to obtain this result: if the two operator …

A bounded linear operator T on a Banach space X is called an (m, p)-isometry if it satisfies
the equation k= 0^ m (-1)^ km\choose k ‖ T^ kx ‖^ p= 0, for all x ∈ X. In this paper we …

In this paper we characterize weighted shifts (both unilateral and bilateral) on lp spaces that
are (m, q)-isometries. We explicitly construct the weights of those operators. Properties of …

The structure of m-isometric weighted shift operators Page 1 Operators and Matrices
Volume 10, Number 2 (2016), 319–334 doi:10.7153/oam-10-17 THE STRUCTURE OF m–ISOMETRIC …

We study several notions of boundedness for operators. It is known that any power bounded
operator is absolutely Cesàro bounded and strongly Kreiss bounded (in particular, uniformly …