OAI/Analysis/KadisonKastler/CentralAveragingLimit.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Norm convergence of iterated central averaging
- theorem
OAI.KadisonKastler.exists_central_mem_closed_orbitline 19Source documentation
Geometric refinement makes the central corrections summable and produces an actual central element in the norm-closed unitary orbit hull.
theorem exists_central_mem_closed_orbit (x : Algebra M) : ∃ c : Algebra (concreteCenter M), c.val ∈ closure (convexHull ℝ (innerUnitaryOrbit M x.val)) := by …Mentions: OAI.KadisonKastler.Algebra, OAI.KadisonKastler.concreteCenter, OAI.KadisonKastler.innerUnitaryOrbit
- theorem
OAI.KadisonKastler.publishedDixmierAveragingline 107Source documentation
The exact published averaging input, in every represented von Neumann algebra.
theorem publishedDixmierAveraging (N : VonNeumannAlgebra H) : PublishedDixmierAveraging N := by …