Theorems · Definition · functional analysis
VonNeumannAlgebra.commutant
{H : Type u} →
[inst : NormedAddCommGroup H] →
[inst_1 : InnerProductSpace ℂ H] → [inst_2 : CompleteSpace H] → VonNeumannAlgebra H → VonNeumannAlgebra HThe centralizer of a VonNeumannAlgebra, as a VonNeumannAlgebra.
- Defined in
- Mathlib.Analysis.VonNeumannAlgebra.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- SetLike.coeproof · cited by 8,199
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapproof · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- CompleteSpacestatement and proof · cited by 2,532
- StarSubalgebraproof · cited by 194
- VonNeumannAlgebrastatement and proof · cited by 16
- StarSubalgebra.centralizerproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- VonNeumannAlgebra.coe_commutantstatement · cited by 2
- VonNeumannAlgebra.IsIdempotentElem.mem_iffstatement and proof · cited by 1
- VonNeumannAlgebra.commutant_commutantstatement and proof · cited by 1
- VonNeumannAlgebra.IsStarProjection.mem_iffstatement and proof · cited by 0
- VonNeumannAlgebra.mem_commutant_iffstatement · cited by 0