Konrad Schmüdgen
Published 2014-06-02Version 1
The fibre theorem \cite{schm2003} for the moment problem on closed semi-algebraic subsets of $\R^d$ is generalized to finitely generated real unital algebras. A charaterization of moment functionals on the polynomial algebra $\R[x_1,\dots,x_d]$ in terms of extensions is given. These results are applied to reprove basic results on the complex moment problem due to Stochel and Szafraniec \cite{stochelsz} and Bisgaard \cite{bisgaard}.
A characterization of inner product spaces
Characterization of Classes of Polynomial Functions
Characterization of convex $μ$-compact sets
![QR code for arXiv:1406.0282 [math.FA]](http://oss.arxitics.com/images/favicon.svg)