OAI/Analysis/KadisonKastler/ModularGraphAction.lean
3 declarations, 0 contain sorry, 0 declared as axioms
A common modular action from uniform rescaled graph comparison
- theorem
OAI.KadisonKastler.modularComparisonField_continuousline 18 - theorem
OAI.KadisonKastler.modularComparisonField_star_continuousline 36 - theorem
OAI.KadisonKastler.uniform_common_action_of_rescaled_graphsline 51Source documentation
The graph estimate now supplies both frequency defects. The uniform tolerance and linear conjugacy constant precede all representation data.
theorem uniform_common_action_of_rescaled_graphs (hSpectral : PublishedVonNeumannSpectralCut.{u}) (hCompare : PublishedTypeIIIProjectionComparison.{u}) (hSakai : PublishedSimpleDerivationInner.{u}) (hDistance : ∀ (H : Type u) [NormedAddCommGroup H] [InnerProductSpace ℂ H] [CompleteSpace H], ∀ M : VonNeumannAlgebra H, PublishedBlockCommutantApproximation (Algebra M) H) (hHardy : PublishedHardyMultiplierEvaluation.{u}) (hNest : PublishedRealNestDistance.{u}) (hRealSpectral : PublishedRealSpectralCommutant.{u}) (hDiagonal : PublishedRealDiagonalDecomposition.{u}) {B : ℝ} (hB : 0 ≤ B) : …Mentions: OAI.KadisonKastler.PublishedBlockCommutantApproximation, OAI.KadisonKastler.Algebra