Theorems · Theorem · functional analysis
StarAlgebra.elemental.characterSpaceToSpectrum_coe
∀ {A : Type u_1} [inst : CStarAlgebra A] (x : A) (φ : ↑(WeakDual.characterSpace ℂ ↥(StarAlgebra.elemental ℂ x))),
↑(StarAlgebra.elemental.characterSpaceToSpectrum x φ) = φ ⟨x, ⋯⟩- Cited by
- 0 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CStarAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Complexstatement and proof · cited by 5,565
- spectrumstatement · cited by 510
- StarSubalgebrastatement · cited by 194
- CStarAlgebrastatement and proof · cited by 123
- WeakDualstatement · cited by 103
- WeakDual.characterSpacestatement and proof · cited by 39
- StarAlgebra.elementalstatement and proof · cited by 26
- StarAlgebra.elemental.characterSpaceToSpectrumstatement and proof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.