Solutions to the 'moment property implies subnormality' and injectivity problems for composition operators on one-circuit graphs

Piotr Budzyński, Zenon Jan Jabłoński, Il Bong Jung +1

We consider composition operators in $L^2(\mu )$, where $\mu$ is a discrete measure. Our main result shows that, for every integer $p\ge 2$, there exists a non-hyponormal composition ope…