OAI/Analysis/BoundedHochschild/Liouville.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

Support rigidity, constant martingale limits and harmonic multiplier identities.

  1. def OAI.HochschildLiouville.hilbertMap line 29
  2. lemma OAI.HochschildLiouville.hilbertMap_norm line 32
  3. lemma OAI.HochschildLiouville.trace_norm_unitary_right line 36
  4. def OAI.HochschildLiouville.algebraD line 52
  5. def OAI.HochschildLiouville.hilbertD line 53
  6. lemma OAI.HochschildLiouville.algebraD_mul line 56
  7. lemma OAI.HochschildLiouville.algebraD_norm line 60
  8. lemma OAI.HochschildLiouville.hilbertD_norm line 66
  9. lemma OAI.HochschildLiouville.multiplied_error line 70
  10. def OAI.HochschildLiouville.endpointSequence line 78
  11. lemma OAI.HochschildLiouville.endpointSequence_apply line 86
  12. lemma OAI.HochschildLiouville.evalList_eq_lift line 90
  13. lemma OAI.HochschildLiouville.lift_comp_hom line 99
  14. theorem OAI.HochschildLiouville.support_rigidity line 113
  15. theorem OAI.HochschildProbability.ae_constant_of_support_unique line 184
  16. lemma OAI.HochschildWalk.processLp_const_inner line 233
  17. lemma OAI.HochschildWalk.processLp_zero line 256
  18. theorem OAI.HochschildWalk.atoms_eq_of_constant_limit line 264
  19. theorem OAI.HochschildLiouville.atoms_multiplier line 323
  20. theorem OAI.HochschildLiouville.multiplier_of_walk line 349
  21. theorem OAI.HochschildLiouville.hilbertD_harmonic line 403