Commit 2023-07-28 22:33 6220e1d0
View on Github →refactor: link the Stone-Weierstrass theorem to the StarSubalgebra
API (#5267)
The Stone-Weierstrass theorem, including the version for IsROrC 𝕜
, was developed prior to the introduction of StarSubalgebra
. As such, in order to prove it, a predicate ConjInvariantSubalgebra
was introduced for ℝ
-subalgebras of C(X, 𝕜)
. This refactors the Stone-Weierstrass theorem to instead use the StarSubalgebra
API and removes ContinuousMap.ConjInvariantSubalgebra
entirely. In addition, we provide a few corollaries concerning polynomial functions which are missing from the library.