k-Hyponormality of multivariable weighted shifts

Authors

• Raúl E. Curto, University of Iowa
• Sang Hoon Lee, University of Iowa
• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-15-2005

Abstract

We characterize joint k-hyponormality for 2-variable weighted shifts. Using this characterization we construct a family of examples which establishes and illustrates the gap between k-hyponormality and (k+1) -hyponormality for each k ≥ 1. As a consequence, we obtain an abstract solution to the Lifting Problem for Commuting Subnormals.

Comments

© 2005 Elsevier Inc. All rights reserved.

Recommended Citation

Curto, Raúl E., Sang Hoon Lee, and Jasang Yoon. "k-Hyponormality of multivariable weighted shifts." Journal of Functional Analysis 229, no. 2 (2005): 462-480. https://doi.org/10.1016/j.jfa.2005.03.022

Creative Commons License

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

First Page

462

Last Page

480

Publication Title

Journal of Functional Analysis

DOI

10.1016/j.jfa.2005.03.022