OAI/Analysis/ModularTheory/DualRegularization.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Contractive Gaussian regularization by the concrete dual action, converging strongly to the original operator.

  1. lemma OAI.WeakPureInfiniteness.modularDual_continuous line 19
  2. def OAI.WeakPureInfiniteness.modularDualOperator line 30
  3. lemma OAI.WeakPureInfiniteness.modularDual_operator_norm_le line 35
  4. lemma OAI.WeakPureInfiniteness.modularDualConjugation_continuous line 42
  5. lemma OAI.WeakPureInfiniteness.modularDualConjugation_norm_le line 54
  6. def OAI.WeakPureInfiniteness.modularDualGaussianAverage line 63
  7. lemma OAI.WeakPureInfiniteness.modularDualGaussianAverage_norm_le line 69
  8. lemma OAI.WeakPureInfiniteness.modularDualGaussianAverage_strong line 74
  9. lemma OAI.WeakPureInfiniteness.modularDualGaussianAverage_mem line 82