Moment property and positivity for some algebras of fractions

Claus Scheiderer, Konrad Schmüdgen

T. M. Bisgaard proved that the $\ast$-algebra $\mathbf{C}[z,\overline{z},1/z\overline{z}]$ has the moment property, that is, each positive linear functional on this $\ast$-algebra is a mome…