OAI/Analysis/OperatorAlgebra/GNSSequenceAmplification.lean

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13 declarations, 0 contain sorry, 0 declared as axioms

Countable diagonal amplification and its double commutant. This is the concrete amplification used to produce a separating vector.

  1. abbrev OAI.WeakPureInfiniteness.SequenceHilbert line 14
  2. def OAI.WeakPureInfiniteness.sequenceDiagonal line 16
  3. lemma OAI.WeakPureInfiniteness.sequenceDiagonal_apply line 20
  4. lemma OAI.WeakPureInfiniteness.sequenceDiagonal_star line 23
  5. def OAI.WeakPureInfiniteness.sequenceDiagonalHom line 31
  6. def OAI.WeakPureInfiniteness.sequenceMatrixUnit line 40
  7. lemma OAI.WeakPureInfiniteness.sequenceMatrixUnit_apply line 45
  8. lemma OAI.WeakPureInfiniteness.sequenceDiagonal_matrixUnit_commute line 51
  9. def OAI.WeakPureInfiniteness.sequenceEntryZero line 62
  10. lemma OAI.WeakPureInfiniteness.sequenceEntryZero_apply line 67
  11. lemma OAI.WeakPureInfiniteness.sequence_diagonal_of_matrixUnit_commutation line 71
  12. def OAI.WeakPureInfiniteness.sequenceAmplification line 87
  13. lemma OAI.WeakPureInfiniteness.sequence_double_commutant_diagonal line 90