The spectrum of $C(K)$ where $K$ is a compact Hausdorff space

144 Views Asked by At

Let $K$ be a compact Hausdorff space, what's the spectrum of $f\in C(K)$? I don't know how to start.

1

There are 1 best solutions below

0
On

Hint: when is $1/(f(x) - \lambda)$ a continuous function?