OAI/Analysis/KadisonKastler/StateOrbitComposition.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Composition of approximate state-central orbit hulls

Composing a delta-central conjugation with an epsilon-central one costs at most delta plus epsilon. Continuity and convexity extend this from individual conjugates to their weakly closed convex hulls.

  1. def OAI.KadisonKastler.wotUnitaryConjugation line 21
  2. theorem OAI.KadisonKastler.wotUnitaryConjugation_continuous line 32
  3. theorem OAI.KadisonKastler.stateOrbitHull_conjugate_mem line 39
  4. theorem OAI.KadisonKastler.stateOrbitHull_compose_subset line 62
  5. theorem OAI.KadisonKastler.stateOrbitCore_compose_subset line 78