OAI/Analysis/KadisonKastler/ConcreteClippedDrift.lean
4 declarations, 0 contain sorry, 0 declared as axioms
Clipped drift in the concrete matrix representation
This connects the support estimate for operator-valued matrices to the bounded sequences in the represented tracial ultrapower. The norm bound holds at each coordinate before the discarded tails are restored.
- def
OAI.KadisonKastler.concreteMatrixEntriesline 45Source documentation
Recover the matrix of original-space operators from the concrete amplified algebra.
def concreteMatrixEntries : Algebra (matrixVonNeumann (ι := Fin n) M) →⋆ₐ[ℂ] …
Mentions: OAI.KadisonKastler.Algebra, OAI.KadisonKastler.matrixVonNeumann
- theorem
OAI.KadisonKastler.hilbertMatrix_concreteMatrixEntriesline 50 - theorem
OAI.KadisonKastler.concreteMatrixEntries_memline 55 - theorem
OAI.KadisonKastler.concrete_spectralClipped_drift_leline 62Source documentation
The support and through-label estimates give the actual coordinate clipped drift in the represented amplified factor.
theorem concrete_spectralClipped_drift_le (hPublished : PublishedCyclicSimilarity.{u, u} (A := Algebra M)) …Mentions: OAI.KadisonKastler.Algebra