Theorems · Theorem · functional analysis
StarAlgEquiv.norm_map
∀ {F : Type u_1} {A : Type u_2} {B : Type u_3} [inst : NonUnitalCStarAlgebra A] [inst_1 : NonUnitalCStarAlgebra B]
[inst_2 : EquivLike F A B] [NonUnitalAlgEquivClass F ℂ A B] [StarHomClass F A B] (φ : F) (a : A), ‖φ a‖ = ‖a‖- Defined in
- Mathlib.Analysis.CStarAlgebra.Spectrum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 290 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- NNReal.toRealproof · cited by 1,260
- EquivLikestatement and proof · cited by 165
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- StarHomClassstatement and proof · cited by 76
- NonUnitalAlgEquivClassstatement and proof · cited by 4
- StarAlgEquiv.nnnorm_mapproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- StarAlgEquiv.isometryproof · cited by 1