OAI/Analysis/OperatorAlgebra/SmallTimeOperatorAverage.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Strong convergence of normalized small-time operator averages. This supplies the regularization limit in the modular commutation argument.

  1. def OAI.WeakPureInfiniteness.realGaussianDensity line 15
  2. lemma OAI.WeakPureInfiniteness.realGaussianDensity_nonneg line 17
  3. lemma OAI.WeakPureInfiniteness.realGaussianDensity_integrable line 20
  4. lemma OAI.WeakPureInfiniteness.realGaussianDensity_integral line 26
  5. def OAI.WeakPureInfiniteness.smallTimeOperatorAverage line 35
  6. lemma OAI.WeakPureInfiniteness.smallTimeOperatorAverage_norm_le line 43
  7. lemma OAI.WeakPureInfiniteness.smallTimeOperatorAverage_strong line 60