OAI/Analysis/TracialCohomology/MatrixNorms.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Matrix norms for bounded Hochschild cohomology.

  1. lemma OAI.PopaMatrices.System.norm_sq_eq_trace line 23
  2. lemma OAI.PopaMatrices.System.trace_diagonal_mul line 29
  3. lemma OAI.PopaMatrices.System.trace_diagonal line 38
  4. lemma OAI.PopaMatrices.System.blocks_norm_sum line 47
  5. lemma OAI.PopaMatrices.System.diagonal_sum_eq line 57
  6. lemma OAI.PopaMatrices.System.diagonal_sum_norm line 66
  7. lemma OAI.PopaCenter.average_diagonal_mul line 98
  8. lemma OAI.PopaCenter.average_diagonal line 108
  9. lemma OAI.PopaCenter.average_diagonal_one line 120
  10. def OAI.PopaCenter.diagonal line 126
  11. lemma OAI.PopaCenter.diagonal_projection line 129
  12. lemma OAI.PopaCenter.diagonal_commutes line 149
  13. lemma OAI.PopaCenter.average_diagonal_sum line 157