## On the determinacy of the moment problem for symmetric algebras of a locally convex space

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2018
Marshall, Murray
##### Publication type
Contribution to a conference collection
Published
##### Published in
Operator Theory in Different Settings and Related Applications / Duduchava, Roland et al. (ed.). - Cham : Birkhäuser, 2018. - (Operator Theory : Advances and Applications ; 262). - pp. 243-250. - ISSN 0255-0156. - eISSN 2296-4878. - ISBN 978-3-319-62526-3
##### Abstract
This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra S(V) of a locally convex space (V, τ). Let μ be a measure representing a linear functional L: S(V) → R. We deduce a sufficient determinacy condition on L provided that the support of μ is contained in the union of the topological duals of V w.r.t. to countably many of the seminorms in the family inducing τ. We compare this result with some already known in literature for such a general form of the moment problem and further discuss how some prior knowledge on the support of the representing measure influences its determinacy.
510 Mathematics
##### Conference
26th International Workshop in Operator Theory and its Applications, Jul 6, 2015 - Jul 10, 2015, Tbilisi
##### Cite This
ISO 690INFUSINO, Maria, Salma KUHLMANN, Murray MARSHALL, 2018. On the determinacy of the moment problem for symmetric algebras of a locally convex space. 26th International Workshop in Operator Theory and its Applications. Tbilisi, Jul 6, 2015 - Jul 10, 2015. In: DUDUCHAVA, Roland, ed. and others. Operator Theory in Different Settings and Related Applications. Cham:Birkhäuser, pp. 243-250. ISSN 0255-0156. eISSN 2296-4878. ISBN 978-3-319-62526-3. Available under: doi: 10.1007/978-3-319-62527-0_7
BibTex
@inproceedings{Infusino2018deter-37274.2,
year={2018},
doi={10.1007/978-3-319-62527-0_7},
title={On the determinacy of the moment problem for symmetric algebras of a locally convex space},
number={262},
isbn={978-3-319-62526-3},
issn={0255-0156},
publisher={Birkhäuser},
series={Operator Theory : Advances and Applications},
booktitle={Operator Theory in Different Settings and Related Applications},
pages={243--250},
editor={Duduchava, Roland},
author={Infusino, Maria and Kuhlmann, Salma and Marshall, Murray}
}

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