Disintegration-of-measure techniques for commuting multivariable weighted shifts

Authors

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

Document Type

Article

Publication Date

1-1-2006

Abstract

We employ techniques from the theory of disintegration of measures to study the Lifting Problem for commuting $n$-tuples of subnormal weighted shifts. We obtain a new necessary condition for the existence of a lifting, and generate new pathology associated with bringing together the Berger measures associated to each individual weighted shift. For subnormal $2$-variable weighted shifts, we then find the precise relation between the Berger measure of the pair and the Berger measures of the shifts associated to horizontal rows and vertical columns of weights.

Comments

2006 London Mathematical Society

Recommended Citation

Curto, Raúl E., and Jasang Yoon. "Disintegration-of-measure techniques for commuting multivariable weighted shifts." Proceedings of the London Mathematical Society 92, no. 2 (2006): 381-402. https://doi.org/10.1112/S0024611505015601

First Page

381

Last Page

402

Publication Title

Proceedings of the London Mathematical Society

DOI

10.1112/S0024611505015601