Subnormality of Bergman-like weighted shifts

Authors

• Raúl E. Curto, University of Iowa
• Yiu T. Poon, Iowa State University
• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

8-1-2005

Abstract

For a, b, c, d ≥ 0 with ad - bc > 0, we consider the unilateral weighted shift S(a, b, c, d) with weights αn := √an+b/cn+d (n ≥ 0). Using Schur product techniques, we prove that S (a, b, c, d) is always subnormal; more generally, we establish that for every p ≥ 1, all p-subshifts of S(a, b, c, d) are subnormal. As a consequence, we show that all Bergman-like weighted shifts are subnormal.

Comments

© 2005 Elsevier Inc. All rights reserved.

Recommended Citation

Curto, Raúl E., Yiu T. Poon, and Jasang Yoon. "Subnormality of Bergman-like weighted shifts." Journal of mathematical analysis and applications 308, no. 1 (2005): 334-342. https://doi.org/10.1016/j.jmaa.2005.01.028

First Page

334

Last Page

342

Publication Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2005.01.028