Structure theorems for star-commuting power partial isometries
Functional Analysis
2017-03-13 v1 Operator Algebras
Abstract
We give a new formulation and proof of a theorem of Halmos and Wallen on the structure of power partial isometries on Hilbert space. We then use this theorem to give a structure theorem for a finite set of partial isometries which star-commute: each operator commutes with the others and with their adjoints.
Cite
@article{arxiv.1703.03506,
title = {Structure theorems for star-commuting power partial isometries},
author = {Astrid an Huef and Iain Raeburn and Ilija Tolich},
journal= {arXiv preprint arXiv:1703.03506},
year = {2017}
}