"Non UBC"@en .
"DSpace"@en .
"Salma Kuhlmann"@en .
"2019-11-27T09:17:09Z"@en .
"2019-05-30T10:31"@en .
"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."@en .
"https://circle.library.ubc.ca/rest/handle/2429/72428?expand=metadata"@en .
"40.0 minutes"@en .
"video/mp4"@en .
""@en .
"Author affiliation: Universit\u00E4t Konstanz"@en .
"Banff (Alta.)"@en .
"10.14288/1.0385988"@en .
"eng"@en .
"Unreviewed"@en .
"Vancouver : University of British Columbia Library"@en .
"Banff International Research Station for Mathematical Innovation and Discovery"@en .
"Attribution-NonCommercial-NoDerivatives 4.0 International"@en .
"http://creativecommons.org/licenses/by-nc-nd/4.0/"@en .
"Faculty"@en .
"BIRS Workshop Lecture Videos (Banff, Alta)"@en .
"Mathematics"@en .
"Operations Research, Mathematical Programming, Algebraic Geometry, Control/Optimization/Operation Research"@en .
"The moment problem for the algebra of symmetric tensors"@en .
"Moving Image"@en .
"http://hdl.handle.net/2429/72428"@en .