On the numerical range and operator norm of V^2
Lkhamjav Khadkhuu, Dashdondog Tsedenbayar · Operators and Matrices · 2020
Let V denote the classical Volterra operator on L 2 (0,1) . We investigate the numerical range and operator norm of V 2 . In particular, we obtain the numerical range, numerical radius and norm of ReV 2 and ImV 2 .