Theorems · Theorem · functional analysis
gelfandStarTransform_apply_apply
∀ (A : Type u_1) [inst : CommCStarAlgebra A] (a : A) (φ : ↑(WeakDual.characterSpace ℂ A)), ((gelfandStarTransform A) a) φ = φ a
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- Foundations
- Depth 306 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommCStarAlgebra
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Complexstatement and proof · cited by 5,565
- ContinuousMapstatement · cited by 2,491
- StarAlgEquivstatement · cited by 132
- WeakDualstatement · cited by 103
- WeakDual.characterSpacestatement and proof · cited by 39
- CommCStarAlgebrastatement and proof · cited by 9
- gelfandStarTransformstatement and proof · cited by 5
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