On the determinacy of the moment problem for symmetric algebras of a locally convex space
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2018
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DUDUCHAVA, Roland, ed. and others. Operator Theory in Different Settings and Related Applications. Cham: Birkhäuser, 2018, pp. 243-250. Operator Theory : Advances and Applications. 262. ISSN 0255-0156. eISSN 2296-4878. ISBN 978-3-319-62526-3. Available under: doi: 10.1007/978-3-319-62527-0_7
Zusammenfassung
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.
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510 Mathematik
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26th International Workshop in Operator Theory and its Applications, 6. Juli 2015 - 10. Juli 2015, Tbilisi
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INFUSINO, 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, 6. Juli 2015 - 10. Juli 2015. In: DUDUCHAVA, Roland, ed. and others. Operator Theory in Different Settings and Related Applications. Cham: Birkhäuser, 2018, pp. 243-250. Operator Theory : Advances and Applications. 262. ISSN 0255-0156. eISSN 2296-4878. ISBN 978-3-319-62526-3. Available under: doi: 10.1007/978-3-319-62527-0_7BibTex
@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},
address={Cham},
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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