Published: 2013-01-15

On the orbit of an A-m-isometry

Rchid Rabaoui , Adel Saddi

Abstract

An A-m-isometry is a bounded linear operator T on a Hilbert space ℍ satisfying an identity of the form Σk=0m(-1)m-k\binom{m}{k}T*kATk = 0, where A is a positive (semi-definite) operator. In this paper, we show that the results for the supercyclicity and the hypercyclicity of m-isometries described in [6, 8] remain true for A-m-isometries.

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Rabaoui, R., & Saddi, A. (2013). On the orbit of an A-m-isometry. Annales Mathematicae Silesianae, 26, 75–91. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14015
Domyślna okładka

Vol. 26 (2012)
Published: 2013-01-15


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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