Square root problem and Subnormal Aluthge transforms

Hamza El Azhar, Abdelouahab Hanine, Kaissar Idrissi +1

For a non negative measure $\mu$ with $p$ atoms, we study the relation between the Square Root Problem of $\mu$ and the problem of subnormality of ${\tilde{W}}_{\mu }$ the Aluthge transform…