Journal article
One-Step Extensions of Subnormal 2-Variable Weighted Shifts
Integral Equations and Operator Theory, Vol.78(3), pp.415-426
03/2014
DOI: 10.1007/s00020-013-2121-x
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 $${\mathbb{R}_+^2}$$ R + 2 .
Details
- Title: Subtitle
- One-Step Extensions of Subnormal 2-Variable Weighted Shifts
- Creators
- Raúl Curto - Department of Mathematics The University of Iowa Iowa City IA 52242 USASang Lee - Department of Mathematics Chungnam National University Daejeon 305-764 Republic of KoreaJasang Yoon - Department of Mathematics The University of Texas-Pan American Edinburg TX 78539 USA
- Resource Type
- Journal article
- Publication Details
- Integral Equations and Operator Theory, Vol.78(3), pp.415-426
- DOI
- 10.1007/s00020-013-2121-x
- ISSN
- 0378-620X
- eISSN
- 1420-8989
- Publisher
- Springer Basel; Basel
- Language
- English
- Date published
- 03/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9983985919402771
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