2 problems

Let $V:L^2[0,1]\to L^2[0,1]$ be the Volterra operator, defined by … For a polynomial $p$, let $p(V)$ denote the corresponding operator polynomial and let $\|p(V)\|$ be its operator…

Let $V:L^2[0,1]\to L^2[0,1]$ be the Volterra operator, defined by … For each positive integer $n$, let $V^n$ denote the $n$-th power of $V$ and let $\|V^n\|$ be its operator norm.…