OAI/Analysis/IrrationalRotation/Spectral/PartialResolventCalculus.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Invariant233.PartialResolvent.injective line 20
  2. theorem OAI.Invariant233.PartialResolvent.domain_eq_range line 34
  3. theorem OAI.Invariant233.PartialResolvent.range_one_sub line 42
  4. theorem OAI.Invariant233.PartialResolvent.injective_one_sub line 55
  5. theorem OAI.Invariant233.PartialResolvent.one_sub_mem_inverse_domain line 68
  6. theorem OAI.Invariant233.PartialResolvent.inverse_one_sub line 75
  7. theorem OAI.Invariant233.PartialResolvent.inverse_domain_eq_range line 81
  8. theorem OAI.Invariant233.PartialResolvent.one_sub_apply_add_inverse line 86
  9. theorem OAI.Invariant233.PartialResolvent.isSymmetric line 102
  10. theorem OAI.Invariant233.PartialResolvent.norm_sq_le_re_inner line 111
  11. theorem OAI.Invariant233.PartialResolvent.one_sub_norm_sq_le_re_inner line 124
  12. theorem OAI.Invariant233.PartialResolvent.isPositive line 142
  13. theorem OAI.Invariant233.PartialResolvent.one_sub_isPositive line 150
  14. theorem OAI.Invariant233.PartialResolvent.norm_le_one_of_quadratic line 164
  15. theorem OAI.Invariant233.PartialResolvent.norm_le_one line 179
  16. theorem OAI.Invariant233.PartialResolvent.one_sub_norm_le_one line 185
  17. theorem OAI.Invariant233.PartialResolvent.isSelfAdjoint line 194
  18. theorem OAI.Invariant233.PartialResolvent.one_sub_isSelfAdjoint line 200