OAI/Analysis/TracialCohomology/ProjectionEstimates.lean

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17 declarations, 0 contain sorry, 0 declared as axioms

Projection estimates for bounded Hochschild cohomology.

  1. def OAI.PopaMatrices.System.flatColumn line 23
  2. def OAI.PopaMatrices.System.flatProjection line 26
  3. lemma OAI.PopaMatrices.System.flatColumn_source line 30
  4. lemma OAI.PopaMatrices.System.flatColumn_star_mul line 35
  5. lemma OAI.PopaMatrices.System.flatProjection_projection line 51
  6. lemma OAI.PopaMatrices.System.flatColumn_compression line 62
  7. lemma OAI.PopaMatrices.System.flatProjection_trace line 79
  8. lemma OAI.PopaMatrices.System.flatProjection_compression_norm line 88
  9. lemma OAI.PopaQuantization.contraction_bound_of_projection_bound line 126
  10. lemma OAI.PopaQuantization.positive_bound_of_projection_bound line 155
  11. lemma OAI.PopaQuantization.bound_of_projection_bound line 175
  12. def OAI.PopaQuantization.commutatorMap line 198
  13. lemma OAI.PopaQuantization.commutatorMap_apply line 202
  14. lemma OAI.PopaQuantization.scalar_distance_le_projection_commutators line 206
  15. theorem OAI.PopaQuantization.exists_large_projection_commutator line 242
  16. lemma OAI.PopaMatrices.projection_norm_sq line 267
  17. lemma OAI.PopaMatrices.exists_matrix_approximating_projection line 275