Toral and spherical Aluthge transforms of 2-variable weighted shifts

Raul E Curto; Jasang Yoon

doi:10.1016/j.crma.2016.10.005

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Toral and spherical Aluthge transforms of 2-variable weighted shifts

Journal article

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Toral and spherical Aluthge transforms of 2-variable weighted shifts

Raul E Curto and Jasang Yoon

Comptes rendus. Mathématique, Vol.354(12), pp.1200-1204

12/01/2016

DOI: 10.1016/j.crma.2016.10.005

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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. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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Details

Title: Subtitle: Toral and spherical Aluthge transforms of 2-variable weighted shifts
Creators: Raul E Curto - University of Iowa
Jasang Yoon - The University of Texas Rio Grande Valley
Resource Type: Journal article
Publication Details: Comptes rendus. Mathématique, Vol.354(12), pp.1200-1204
DOI: 10.1016/j.crma.2016.10.005
ISSN: 1631-073X
eISSN: 1778-3569
Publisher: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Number of pages: 5
Grant note: DOI: 10.13039/100000001, name: NSF, award: DMS-1302666
Language: English
Date published: 12/01/2016
Academic Unit: Mathematics
Record Identifier: 9984240878202771

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