Journal article
Disintegration-of-measure techniques for commuting multivariable weighted shifts
Proceedings of the London Mathematical Society, Vol.92(2), pp.381-402
2006
DOI: 10.1112/S0024611505015601
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.
Details
- Title: Subtitle
- Disintegration-of-measure techniques for commuting multivariable weighted shifts
- Creators
- Raúl E CurtoJasang Yoon
- Resource Type
- Journal article
- Publication Details
- Proceedings of the London Mathematical Society, Vol.92(2), pp.381-402
- DOI
- 10.1112/S0024611505015601
- ISSN
- 0024-6115
- eISSN
- 1460-244X
- Language
- English
- Date published
- 2006
- Academic Unit
- Mathematics
- Record Identifier
- 9983985711502771
Metrics
35 Record Views