On $q$-normal operators and quantum complex plane

Details On $q$-normal operators and quantum complex plane On $q$-normal operators and quantum complex plane

2011-01-15

arxiv.org/abs/1101.3009v2

Mathematics

Operator Algebras

Scientific paper

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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