OAI/Analysis/KadisonKastler/StateBicentralizerVonNeumann.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The faithful state bicentralizer as a concrete von Neumann algebra

The double commutant theorem supplies reference-vector approximations. The state estimate then retains bicentralizer membership, without an operator-norm bound on those approximations.

  1. def OAI.KadisonKastler.concreteStateBicentralizer line 22
  2. theorem OAI.KadisonKastler.mem_concreteStateBicentralizer line 26
  3. theorem OAI.KadisonKastler.concreteStateBicentralizer_le line 37
  4. theorem OAI.KadisonKastler.concreteStateBicentralizer_bicommutant line 44
  5. def OAI.KadisonKastler.stateBicentralizerVonNeumann line 71
  6. theorem OAI.KadisonKastler.mem_stateBicentralizerVonNeumann line 76