Schur product techniques for the subnormality of commuting 2-variable weighted shifts

Authors

• Jaewoong Kim, Seoul National University
• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

7-15-2014

Abstract

In this paper, we study the subnormality of 2-variable weighted shifts using the Schur product techniques in matrices and the convolution of two continuous functions. As a consequence, we find the Berger measure of the subnormal weighted shift obtained from the Schur product of two subnormal weighted shifts. As applications, we first give non-trivial, large classes satisfying the Curto-Muhly-Xia conjecture (see the conjecture given below) for 2-variable weighted shifts. We next show when the 2-hyponormality of 2-variable weighted shifts becomes subnormality.

Comments

© 2014 Elsevier Inc.

Recommended Citation

Kim, Jaewoong, and Jasang Yoon. "Schur product techniques for the subnormality of commuting 2-variable weighted shifts." Linear Algebra and its Applications 453 (2014): 174-191. https://doi.org/10.1016/j.laa.2014.04.013

First Page

174

Last Page

191

Publication Title

Linear Algebra and Its Applications

DOI

10.1016/j.laa.2014.04.013