Toral and spherical Aluthge transforms of 2-variable weighted shifts
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.
- Publication:
-
Comptes Rendus Mathematique
- Pub Date:
- December 2016
- DOI:
- 10.1016/j.crma.2016.10.005
- arXiv:
- arXiv:1706.03297
- Bibcode:
- 2016CRMat.354.1200C
- Keywords:
-
- Mathematics - Functional Analysis;
- 47
- E-Print:
- Integral equations Operator Theory (2018) 90:52