Journal article
A new approach to the 2-variable Subnormal Completion Problem
Journal of mathematical analysis and applications, Vol.370(1), pp.270-283
2010
DOI: 10.1016/j.jmaa.2010.04.061
Abstract
We study the Subnormal Completion Problem (SCP) for 2-variable weighted shifts. We use tools and techniques from the theory of truncated moment problems to give a general strategy to solve SCP. We then show that when all quadratic moments are known (equivalently, when the initial segment of weights consists of five independent data points), the natural necessary conditions for the existence of a subnormal completion are also sufficient. To calculate explicitly the associated Berger measure, we compute the algebraic variety of the associated truncated moment problem; it turns out that this algebraic variety is precisely the support of the Berger measure of the subnormal completion.
Details
- Title: Subtitle
- A new approach to the 2-variable Subnormal Completion Problem
- Creators
- Raúl E Curto - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, United StatesSang Hoon 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, United States
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.370(1), pp.270-283
- DOI
- 10.1016/j.jmaa.2010.04.061
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2010
- Academic Unit
- Mathematics
- Record Identifier
- 9983985841102771
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