Toral and spherical Aluthge transforms of 2-variable weighted shifts

Authors

Raul E. Curto, University of Iowa
Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-2016

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 2-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.

Comments

Original published version available at https://doi.org/10.1016/j.crma.2016.10.005

Recommended Citation

Curto, Raúl E., and Jasang Yoon. "Toral and spherical Aluthge transforms of 2-variable weighted shifts." Comptes Rendus. Mathématique 354, no. 12 (2016): 1200-1204. https://doi.org/10.1016/j.crma.2016.10.005

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Comptes Rendus Mathematique

DOI

10.1016/j.crma.2016.10.005