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Apr 22, 2022 at 15:50 comment added anomaly @NikWeaver: At the elementary level, the proof is also simpler if you restrict the result to compact metric spaces, where it follows reasonably straightforwardly from the ordinary Weierstrass Approximation Theorem.
Apr 21, 2022 at 21:41 comment added Nik Weaver Eh, I don't think the elementary proof needs to be as complicated as Stone makes it out to be. I give a two-page elementary proof in this book, which I think is actually simpler than de Branges' proof.
S Apr 21, 2022 at 17:04 history answered Michael Greinecker CC BY-SA 4.0
S Apr 21, 2022 at 17:04 history made wiki Post Made Community Wiki by Michael Greinecker