Theorems · Theorem · functional analysis
StarAlgEquiv.isometry
∀ {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), Isometry ⇑φ- Defined in
- Mathlib.Analysis.CStarAlgebra.Spectrum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 291 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Complexstatement and proof · cited by 5,565
- Isometrystatement · cited by 230
- EquivLikestatement and proof · cited by 165
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- StarHomClassstatement and proof · cited by 76
- AddMonoidHomClass.isometry_of_normproof · cited by 18
- NonUnitalAlgEquivClassstatement and proof · cited by 4
- StarAlgEquiv.norm_mapproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- cfcHom_eq_of_isStarNormalproof · cited by 0