- Thread starter
- Moderator
- #1

- Jun 20, 2014

- 1,892

-----

Consider the normed space $\mathcal{M}(X)$ of all complex regular Borel measures on a locally compact Hausdorff space $X$, with total variation norm $\|\mu\| := \lvert \mu\rvert (X)$, for all $\mu\in \mathcal{M}(X)$. Prove that $\mathcal{M}(X)$ is a Banach space.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!