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) …

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author for internal non-commerci Page 1 This article appeared in a journal published by …

We study the sum of an m-isometry or an m-symmetric operator with a nilpotent operator. We
also study the product of two m-isometries or two n-symmetries. We obtain several theorems …

We introduce the class of n-quasi-m-isometric operators on Hilbert space. This generalizes
the class of m-isometric operators on Hilbert space introduced by Agler and Stankus. An …

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 …

Structure of elementary operators defining m-left invertible, m-selfadjoint and related classes
of operators - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

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 …

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 …

A Banach space operator T∈ B (X) has a left m-inverse (resp., an essential left m-inverse)
for some integer m≥ 1 if there exists an operator S∈ B (X)(resp., an operator S∈ B (X) and …