OAI/Analysis/DirectCrouzeix/Resolvent.lean

GitHub source file

15 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.DirectCrouzeix.quadratic line 13
  2. theorem OAI.DirectCrouzeix.quadratic_add line 17
  3. theorem OAI.DirectCrouzeix.quadratic_sub line 22
  4. theorem OAI.DirectCrouzeix.quadratic_smul line 27
  5. theorem OAI.DirectCrouzeix.quadratic_one line 32
  6. theorem OAI.DirectCrouzeix.quadratic_star line 36
  7. theorem OAI.DirectCrouzeix.quadratic_vector_smul line 43
  8. theorem OAI.DirectCrouzeix.quadratic_toLp line 49
  9. theorem OAI.DirectCrouzeix.posSemidef_of_unit_quadratic line 55
  10. theorem OAI.DirectCrouzeix.supported_matrix_posSemidef line 76
  11. theorem OAI.DirectCrouzeix.resolvent_congruence line 95
  12. theorem OAI.DirectCrouzeix.positive_resolvent_of_isUnit line 107
  13. theorem OAI.DirectCrouzeix.mem_numericalRange_of_eigenvector line 115
  14. theorem OAI.DirectCrouzeix.isUnit_resolvent_of_not_mem line 130
  15. theorem OAI.DirectCrouzeix.positive_resolvent line 144