Theorems · Theorem · functional analysis

gelfandStarTransform_symm_apply

∀ (A : Type u_1) [inst : CommCStarAlgebra A] (a : C(↑(WeakDual.characterSpace ℂ A), ℂ)),
  (gelfandStarTransform A).symm a =
    (RingEquiv.ofBijective { toAlgHom := WeakDual.gelfandTransform ℂ A, map_star' := ⋯ } ⋯).symm a

Defined in

Mathlib.Analysis.CStarAlgebra.GelfandDuality

Cited by

0 results in Mathlib

Foundations

Depth 306 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommCStarAlgebra