Flat extensions in $\ast$-algebras
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- by Bernard Mourrain and Konrad Schmüdgen
- Proc. Amer. Math. Soc. 144 (2016), 4873-4885
- DOI: https://doi.org/10.1090/proc/13158
- Published electronically: May 3, 2016
Abstract:
The main result of the paper is a flat extension theorem for positive linear functionals on $*$-algebras. The theorem is applied to truncated moment problems on cylinder sets, on matrices of polynomials and on enveloping algebras of Lie algebras.References
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Bibliographic Information
- Bernard Mourrain
- Affiliation: Inria Sophia Antipolis Méditerranée, BP 93, 06902 Sophia Antipolis, France
- MR Author ID: 309750
- Email: Bernard.Mourrain@inria.fr
- Konrad Schmüdgen
- Affiliation: Mathematisches Institut, Universität Leipzig, Augustusplatz 10/11, D-04109 Leipzig, Germany
- Email: schmuedgen@math.uni-leipzig.de
- Received by editor(s): July 9, 2014
- Received by editor(s) in revised form: January 18, 2016
- Published electronically: May 3, 2016
- Communicated by: Harm Derksen
- © Copyright 2016 by the authors
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4873-4885
- MSC (2010): Primary 46L05; Secondary 44A60
- DOI: https://doi.org/10.1090/proc/13158
- MathSciNet review: 3544536