Flat extensions in ∗-algebras

DOI10.1090/proc/13158zbMath1364.46047arXiv1406.4975OpenAlexW1637979090MaRDI QIDQ2821747

Mourrain, Bernard, Konrad Schmüdgen

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4975

zbMATH Keywords

enveloping algebraGNS constructionflat extensiontruncated moment problem\(\ast\)-algebrasHermitian linear form

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60) General theory of topological algebras with involution (46K05)

Related Items (3)

On a solution of the multidimensional truncated matrix-valued moment problem ⋮ The multidimensional truncated moment problem: the moment cone ⋮ Uniform Determinantal Representations

Cites Work

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• Positivstellensatz and flat functionals on path *-algebras
• Non-commutative moment problems
• A generalized flat extension theorem for moment matrices
• Unbounded operator algebras and representation theory.
• Positivity, sums of squares and the multi-dimensional moment problem
• On the moment problem of closed semi-algebraic sets
• Solution of the truncated complex moment problem for flat data

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