Weighted shift operators which are m isometries

Abstract 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 coefficients … Expand. An isometry plus a nilpotent operator is an m-isometry. Some results on Higher orders quasi-isometries. The purpose of the present paper is to pursue further study of a class of linear bounded operators, known as n-quasi-m-isometric operators acting on an infinite complex separable Hilbert space H.

Abstract We obtain some conditions about the weighted shift and the composition operators on l p to be m , q -isometries. In particular, we prove that if T is a strict 2 , q isometry, then p … Expand. Some Examples of m-Isometries. This property gives a better picture of the correct spectrum … Expand.

View 1 excerpt, cites methods. Ergodic and dynamical properties of m-isometries. Abstract An example of a weakly ergodic 3-isometry is provided in [3] , we give new examples of weakly ergodic 3-isometries and study numerically hypercyclic m-isometries on finite and infinite … Expand.

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 examples of … Expand. View 3 excerpts, cites background and results. In this paper and the next, wc … Expand. View 1 excerpt, references background. Spectral properties of m-isometric operators. Special functions and their applications. Lebedev H-Index: 4. Silverman H-Index: Livhtenberg H-Index: 1.

Cited By Operator inequalities, functional models and ergodicity. Abstract We discuss when an operator T, subject to a rather general inequality in hereditary form, admits a unitarily equivalent functional model of Agler type in the reproducing kernel Hilbert space associated to the inequality.

The kernel need not be of Nevanlinna-Pick type. We define a defect operator D in our context and discuss the structure of the spectum of T when D is of finite rank. As a second application, some consequences concerning the ergodic behavior of the operator T are derived.

We provide criteria for orthogonality of generalized eigenvectors of an a priori unbounded linear operator T on an inner product space that correspond to distinct eigenvalues of modulus 1. We also discuss a similar question of when Jordan blocks of T corresponding to dis Functional models up to similarity and acontractions. Dmitry Yakubovich H-Index: 9. We study the generalization of misometries and mcontractions for positive integers m to what we call aisometries and acontractions for positive real numbers a We show that any Hilbert space operator, satisfying an inequality of certain class in hereditary form , is similar to acontractions.

This result is based on some Banach algebras techniques and is an improvement of a recent result by the last two authors. We also prove that any acontraction Tis a bcontraction Shields A.

In: Pearcy, C. Topics in Operator Theory, pp. Surveys, vol. American Mathematical Society, Providence Download references. You can also search for this author in PubMed Google Scholar. Reprints and Permissions. Weighted Shift Operators Which are m -Isometries. Theory 68, — Download citation. Received : 18 November Revised : 14 April