Non UBC
DSpace
Salma Kuhlmann
2019-11-27T09:17:09Z
2019-05-30T10:31
The univariate moment problem for the real polynomial ring is an old problem with origins tracing back to work of Stieltjes. The multivariate moment problem has been considered more recently. Even more recently, there has been considerable interest, for both pure theory and applications, in the infinite-variate moment problem, dealing with the moment problem in (possibly not finitely generated) real commutative unital algebras. In this talk we focus on a real (commutative unital) locally multiplicatively convex topological algebra and the representation of continuous linear functionals by Radon measures on its character space. We first prove a general representation theorem by measures supported on the Gelfand Spectrum of a real sub-multiplicative semi-normed real algebra. To this end, we exploit the Archimedean Positivstellensatz, which holds in its (Banach) completion, and then proceed to handle an arbitrary locally multiplicatively convex topology. We will illustrate the methods by examples. In particular, we apply our results to the symmetric tensor algebra of a locally convex real topological space. This talk is based on joint work with Ghasemi, Infusino and Marshall.
https://circle.library.ubc.ca/rest/handle/2429/72428?expand=metadata
40.0 minutes
video/mp4
Author affiliation: Universität Konstanz
Banff (Alta.)
10.14288/1.0385988
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Operations Research, Mathematical Programming, Algebraic Geometry, Control/Optimization/Operation Research
The moment problem for the algebra of symmetric tensors
Moving Image
http://hdl.handle.net/2429/72428