Theorems · Theorem · functional analysis
NonUnitalStarAlgHom.isometry
∀ {F : Type u_1} {A : Type u_2} {B : Type u_3} [inst : NonUnitalCStarAlgebra A] [inst_1 : NonUnitalCStarAlgebra B]
[inst_2 : FunLike F A B] [NonUnitalAlgHomClass F ℂ A B] [StarHomClass F A B] (φ : F),
Function.Injective ⇑φ → Isometry ⇑φ- Defined in
- Mathlib.Analysis.CStarAlgebra.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 313 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Complexstatement and proof · cited by 5,565
- FunLikestatement and proof · cited by 2,560
- Isometrystatement · cited by 230
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- StarHomClassstatement and proof · cited by 76
- NonUnitalAlgHomClassstatement and proof · cited by 75
- AddMonoidHomClass.isometry_of_normproof · cited by 18
- NonUnitalStarAlgHom.norm_mapproof · cited by 2
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