\b[Compact.] This operator is $BD$, where $D$ is the compact diagonal operator in (a) and $B$ is the bounded backward shift in (b). The composition property applies. Equivalently its tails have the same vanishing-coefficient finite-rank approximation.


Solution

Past exam of the functional Analysis and Banach and C*-Algebras course of the University of Oxford / 2007 / A / 4 / c / Solution

 Solution (source code)