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On $q$-normal operators and quantum complex plane
Published 15 Jan 2011 in math.OA, math.QA, and math.RT | (1101.3009v2)
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.
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