Perturbation of m‐Isometries by Nilpotent Operators - Bermúdez - 2014 - Abstract and Applied
Analysis - Wiley Online Library Skip to Article Content Skip to Article Information Wiley Online …

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 …

We generalize the notion of m-isometric operator tuples on Hilbert spaces in a natural way to
operator tuples on normed spaces. This is done by defining a tuple analogue of (m, p) …

We prove that if T is an m-isometry on a Hilbert space and b (z) is an inner function, then b
(T) is also an m-isometry. This work is motivated by Bermúdez, Mendoza and Martinón [13] …

The aim of this work is to introduce the concepts of left-(m, C)-invertibility and right (m, C)-
invertibility related to a given complex conjugation operator C on a Hilbert space Y. Some …

Arithmetic Progressions and Its Applications to (m, q)-Isometries: A Survey Page 1 Results.
Math. 69 (2016), 177–199 c© 2015 Springer Basel 1422-6383/16/010177-23 published online …

Sarason did pioneer work on reflexive operator and reflexivity of normal operators, however,
he did not used the word reflexive but his results are equivalent to say that every normal …

Sarason did pioneer work on reflexive operator and reflexivity of normal operators, however,
he did not used the word reflexive but his results are equivalent to say that every normal …

1. Introduction he notion of -isometric operators on Hilbert spaces was introduced by Agler
[1]. See also [2–5]. Recently Sid Ahmed [6] has defined -isometries on Banach spaces …