Toral and spherical Aluthge transforms of $2$-variable weighted shifts
Functional Analysis
2017-10-31 v1
Abstract
We introduce two natural notions of Aluthge transforms (toral and spherical) for 2-variable weighted shifts and study their basic properties. Next, we study the class of spherically quasinormal -variable weighted shifts, which are the fixed points for the spherical Aluthge transform. Finally, we briefly discuss the relation between spherically quasinormal and spherically isometric 2-variable weighted shifts.
Cite
@article{arxiv.1611.00115,
title = {Toral and spherical Aluthge transforms of $2$-variable weighted shifts},
author = {Raul E. Curto and Jasang Yon},
journal= {arXiv preprint arXiv:1611.00115},
year = {2017}
}
Comments
Accepted for publication by C.R. Acad. Sci. Paris, Ser. I (2016)