Subnormality of Aluthge Transforms of Weighted Shifts

Authors

• Sang Hoon Lee, Chungnam National University
• Woo Young Lee, Seoul National University
• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2-1-2012

Abstract

In this note we study the k-hyponormality and the subnormality of Aluthge transforms of weighted shifts. It is shown that Aluthge transforms of weighted shifts need not preserve the k-hyponormality. Moreover, we show that if W α is a subnormal weighted shift with 2-atomic Berger measure then its Aluthge transform W̃ α is subnormal if and only if at least one of two atoms is zero. © 2011 Springer Basel AG.

Recommended Citation

Lee, Sang Hoon, Woo Young Lee, and Jasang Yoon. "Subnormality of Aluthge transforms of weighted shifts." Integral Equations and Operator Theory 72, no. 2 (2012): 241-251. https://doi.org/10.1007/s00020-011-1934-8

First Page

241

Last Page

251

Publication Title

Integral Equations and Operator Theory

DOI

10.1007/s00020-011-1934-8