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Powers of A-m-Isometric Operators and Their Supercyclicity

Powers of A-m-Isometric Operators and Their Supercyclicity We obtain some results on A-m-isometric operators. The paper consists of two parts. At first, we consider the products of A-m-isometries. It will be proved that the iterates of an A-m-isometry are all of this type. We discuss when an A-m-isometry becomes an A-isometry. Also, we consider the products of A-m-isometries for different values of m. In the second part, we are going to investigate the supercyclicity of these operators and prove that they are never supercyclic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Powers of A-m-Isometric Operators and Their Supercyclicity

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References (23)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-015-0201-6
Publisher site
See Article on Publisher Site

Abstract

We obtain some results on A-m-isometric operators. The paper consists of two parts. At first, we consider the products of A-m-isometries. It will be proved that the iterates of an A-m-isometry are all of this type. We discuss when an A-m-isometry becomes an A-isometry. Also, we consider the products of A-m-isometries for different values of m. In the second part, we are going to investigate the supercyclicity of these operators and prove that they are never supercyclic.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Aug 7, 2015

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