{"paper":{"title":"Moment problem for symmetric algebras of locally convex spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.FA","authors_text":"M. Ghasemi, M. Infusino, M. Marshall, S. Kuhlmann","submitted_at":"2015-07-24T08:45:28Z","abstract_excerpt":"It is explained how a locally convex (lc) topology $\\tau$ on a real vector space $V$ extends to a locally multiplicatively convex (lmc) topology $\\overline{\\tau}$ on the symmetric algebra $S(V)$. This allows the application of the results on lmc topological algebras obtained by Ghasemi, Kuhlmann and Marshall to obtain representations of $\\overline{\\tau}$-continuous linear functionals $L: S(V)\\rightarrow \\mathbb{R}$ satisfying $L(\\sum S(V)^{2d}) \\subseteq [0,\\infty)$ (more generally, $L(M) \\subseteq [0,\\infty)$ for some $2d$-power module $M$ of $S(V)$) as integrals with respect to uniquely dete"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06781","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}