2000 character limit reached
On $q$-normal operators and quantum complex plane (1101.3009v2)
Published 15 Jan 2011 in math.OA, math.QA, and math.RT
Abstract: For $q>0$ let $\cA$ denote the unital $\ast$-algebra with generator $x$ and defining relation $xx\ast=qxx\ast$. Based on this algebra we study $q$-normal operators, the complex $q$-moment problem, positive elements and sums of squares.