OAI/Analysis/NumericalRange/PolynomialCalculus.lean

GitHub source file

22 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.CompleteCrouzeix.vectorize line 21
  2. def OAI.CompleteCrouzeix.vectorizeCLM line 24
  3. lemma OAI.CompleteCrouzeix.vectorizeCLM_apply line 29
  4. lemma OAI.CompleteCrouzeix.kronecker_vectorize line 33
  5. def OAI.CompleteCrouzeix.transposedTransfer line 50
  6. lemma OAI.CompleteCrouzeix.transposedTransfer_eq line 53
  7. lemma OAI.CompleteCrouzeix.transposed_resolvent_unit line 60
  8. lemma OAI.CompleteCrouzeix.evaluate_transposedTransfer line 71
  9. lemma OAI.CompleteCrouzeix.actual_transfer_extremal_evaluation line 97
  10. lemma OAI.CompleteCrouzeix.matrixAnalyticEval_comp line 133
  11. lemma OAI.CompleteCrouzeix.completeAnalyticEval_comp line 142
  12. lemma OAI.CompleteCrouzeix.matrixAnalyticEval_intertwine line 152
  13. lemma OAI.CompleteCrouzeix.matrixAnalyticEval_similarity line 162
  14. lemma OAI.CompleteCrouzeix.completeAnalyticEval_similarity line 171
  15. def OAI.CompleteCrouzeix.baseMatrixHom line 188
  16. lemma OAI.CompleteCrouzeix.baseMatrixHom_norm line 201
  17. lemma OAI.CompleteCrouzeix.complete_analytic_similarity_bound line 204
  18. lemma OAI.CompleteCrouzeix.matrixAnalyticEval_power_mul line 234
  19. lemma OAI.CompleteCrouzeix.completeAnalyticEval_polynomial line 243
  20. theorem OAI.CompleteCrouzeix.interior_coordinate_disk_representation line 259
  21. theorem OAI.CompleteCrouzeix.coordinate_analytic_similarity_bound line 293
  22. theorem OAI.CompleteCrouzeix.coordinate_polynomial_similarity_bound line 328