3
$\begingroup$

Can anyone say how to relate Stone-Weierstrass approximation theorem in this problem? Given that $\mu$ and $\nu$ are two probability measure on the real line, if for all bounded continuous functions $f$, $\int f d \mu = \int f d \nu$, then $\mu=\nu$?

  • 6
    elinor, I _strongly encourage you_ to start accepting answers to your questions. This is a basic courtesy to show that you appreciate the work they've done, for free, to assist you, a total stranger.2011-03-07

1 Answers 1