The universal algebra generated by a power partial isometry
Operator Algebras
2016-02-03 v1
Abstract
A power partial isometry (PPI) is an element of a -algebra with the property that every power is a partial isometry. The goal of this paper is to identify the universal -algebra generated by a PPI with (a slight modification of) the algebra of the finite sections method for Toeplitz operators with continuous generating function, as first described by Albrecht B\"ottcher and Bernd Silbermann in 1983.
Cite
@article{arxiv.1602.00857,
title = {The universal algebra generated by a power partial isometry},
author = {Steffen Roch},
journal= {arXiv preprint arXiv:1602.00857},
year = {2016}
}