Theorems · Inductive type · functional analysis
NonUnitalCStarAlgebra
Type u_1 → Type u_1
The class of non-unital (complex) C⋆-algebras.
- Defined in
- Mathlib.Analysis.CStarAlgebra.Classes
- Cited by
- 149 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 by186
Results whose statement or proof uses this declaration.
- CStarMatrix.toCLMstatement and proof · cited by 13
- PositiveLinearMap.PreGNSstatement and proof · cited by 10
- Filter.IsIncreasingApproximateUnitstatement · cited by 9
- PositiveLinearMap.ofPreGNSstatement and proof · cited by 8
- Unitization.inr_le_iffstatement and proof · cited by 8
- Unitization.inr_nonneg_iffstatement and proof · cited by 8
- CStarAlgebra.norm_le_norm_of_nonneg_of_lestatement and proof · cited by 6
- PositiveLinearMap.toPreGNSstatement and proof · cited by 5
- CompletelyPositiveMapstatement · cited by 5
- CStarModule.norm_sq_eqstatement and proof · cited by 5
- PositiveLinearMap.leftMulMapPreGNSstatement and proof · cited by 4
- IsStarProjection.le_tfaestatement and proof · cited by 4