OAI/Analysis/KadisonKastler/PartitionSignAverage.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

The sign average of a finite projection partition

  1. def OAI.KadisonKastler.partitionSignOperator line 22
  2. theorem OAI.KadisonKastler.partitionSignOperator_val line 26
  3. theorem OAI.KadisonKastler.partitionSignOperator_star line 36
  4. theorem OAI.KadisonKastler.partitionSignOperator_sq line 43
  5. theorem OAI.KadisonKastler.partitionSignOperator_unitary line 59
  6. theorem OAI.KadisonKastler.conjugationOperator_real_smul line 66
  7. theorem OAI.KadisonKastler.conjugationOperator_finite_sum line 72
  8. theorem OAI.KadisonKastler.partitionSignOperator_quadratic line 78
  9. theorem OAI.KadisonKastler.expect_partitionSignOperator_quadratic line 91