OAI/Analysis/KadisonKastler/ScalarPositiveLimit.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

Positivity of scalar averages and their weak limit

  1. def OAI.KadisonKastler.scalarPositiveCone line 15
  2. theorem OAI.KadisonKastler.scalarPositiveCone_isClosed line 17
  3. theorem OAI.KadisonKastler.scalarPositiveCone_convex line 21
  4. def OAI.KadisonKastler.ScalarNonnegative line 30
  5. theorem OAI.KadisonKastler.scalarNonnegative_pullback line 33
  6. theorem OAI.KadisonKastler.scalarNonnegative_real_smul line 39
  7. theorem OAI.KadisonKastler.scalarNonnegative_sum line 49
  8. theorem OAI.KadisonKastler.scalarNonnegative_pullback_power line 63
  9. theorem OAI.KadisonKastler.scalarNonnegative_weighted_sum line 73
  10. theorem OAI.KadisonKastler.scalarNonnegative_shiftCesaro line 79
  11. theorem OAI.KadisonKastler.scalarNonnegative_of_weak_limit line 95