Theorems · Definition · functional analysis
DoubleCentralizer.toProd
{𝕜 : Type u} →
{A : Type v} →
[inst : NontriviallyNormedField 𝕜] →
[inst_1 : NonUnitalNormedRing A] →
[inst_2 : NormedSpace 𝕜 A] →
[inst_3 : SMulCommClass 𝕜 A A] →
[inst_4 : IsScalarTower 𝕜 A A] → DoubleCentralizer 𝕜 A → (A →L[𝕜] A) × (A →L[𝕜] A)- Defined in
- Mathlib.Analysis.CStarAlgebra.Multiplier
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalNormedRingstatement and proof · cited by 231
- DoubleCentralizerstatement and proof · cited by 59
Cited by51
Results whose statement or proof uses this declaration.
- DoubleCentralizer.toProdMulOppositeproof · cited by 4
- DoubleCentralizer.centralstatement · cited by 3
- DoubleCentralizer.extstatement and proof · cited by 3
- DoubleCentralizer.norm_fst_eq_sndstatement and proof · cited by 3
- DoubleCentralizer.toProdHomproof · cited by 3
- DoubleCentralizer.norm_fststatement and proof · cited by 2
- DoubleCentralizer.norm_sndstatement and proof · cited by 1
- DoubleCentralizer.toProdHom_applystatement · cited by 1
- DoubleCentralizer.toProdMulOpposite_injectiveproof · cited by 1
- DoubleCentralizer.add_fststatement · cited by 0
- DoubleCentralizer.add_sndstatement · cited by 0
- DoubleCentralizer.add_toProdstatement · cited by 0