One-Step Extensions of Subnormal 2-Variable Weighted Shifts

Authors

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

Document Type

Article

Publication Date

3-1-2014

Abstract

We study one-step extensions of 2-variable weighted shifts. We provide necessary and sufficient conditions for the subnormality of such extensions, by using backward extensions, disintegration of measures, and k-hyponormality techniques from the theory of 2-variable weighted shifts. We apply our results to solve an interpolation problem for measures on ℝ+².

Comments

© 2014 Springer Basel.

https://rdcu.be/ZYkhi1XjSmNa

Recommended Citation

Curto, Raúl E., Sang Hoon Lee, and Jasang Yoon. "One-step extensions of subnormal 2-variable weighted shifts." Integral Equations and Operator Theory 78, no. 3 (2014): 415-426. https://doi.org/10.1007/s00020-013-2121-x

First Page

415

Last Page

426

Publication Title

Integral Equations and Operator Theory

DOI

10.1007/s00020-013-2121-x