For a compact Hausdorff space $K$, every character of the <Banach algebra> $C(K)$ is an <evaluation character>
$$
\delta_x(f)=f(x)
$$
at a unique $x\in K$. The map $x\mapsto\delta_x$ is a <homeomorphism> from $K$ onto $\Phi_{C(K)}$ with its <Gelfand topology>.

Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 106 / 2 / d / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-106/2/d/solution