OAI/Analysis/Nuclearity/CommutingMatrixNorm.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

A dimension-independent bound for the commuting matrix tensor map. Only positivity and its value on the identity are used.

  1. def OAI.WeakPureInfiniteness.commutingMatrixPositiveMap line 16
  2. lemma OAI.WeakPureInfiniteness.commutingMatrixPositiveMap_one line 23
  3. lemma OAI.WeakPureInfiniteness.positiveLinearMap_norm_four_bound line 38
  4. lemma OAI.WeakPureInfiniteness.commutingMatrixLinearMap_norm_le line 55
  5. lemma OAI.WeakPureInfiniteness.commutingMatrixLinearMap_coefficient line 69