Theorems · Inductive type · functional analysis
CStarAlgebra
Type u_1 → Type u_1
The class of unital (complex) C⋆-algebras.
- Defined in
- Mathlib.Analysis.CStarAlgebra.Classes
- Cited by
- 123 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by141
Results whose statement or proof uses this declaration.
- Unitary.argSelfAdjointstatement and proof · cited by 13
- IsSelfAdjoint.le_algebraMap_norm_selfstatement and proof · cited by 7
- IsSelfAdjoint.spectralRadius_eq_nnnormstatement and proof · cited by 7
- CStarAlgebra.norm_le_one_iff_of_nonnegstatement and proof · cited by 6
- selfAdjoint.unitarySelfAddISMulstatement and proof · cited by 6
- CStarAlgebra.norm_le_iff_le_algebraMapstatement and proof · cited by 5
- IsStrictlyPositive.of_lestatement and proof · cited by 4
- Unitary.argSelfAdjoint_coestatement and proof · cited by 4
- Unitary.openPartialHomeomorphstatement and proof · cited by 4
- Unitary.pathstatement and proof · cited by 4
- CStarAlgebra.inv_le_invstatement and proof · cited by 3
- CStarAlgebra.isUnit_of_lestatement and proof · cited by 3