OAI/Analysis/PureInfiniteness/SpectralProductCFC.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Product spectral partitions in a commutative C*-algebra. They will be mapped into the ambient algebra generated by the finite commuting family.

  1. lemma OAI.WeakPureInfiniteness.commutative_prod_nonneg line 18
  2. def OAI.WeakPureInfiniteness.productGridHatElement line 28
  3. def OAI.WeakPureInfiniteness.productGridPlateauElement line 31
  4. lemma OAI.WeakPureInfiniteness.productGridHatElement_nonneg line 34
  5. lemma OAI.WeakPureInfiniteness.productGridPlateauElement_nonneg line 38
  6. lemma OAI.WeakPureInfiniteness.productGridPlateauElement_mul_hat line 43
  7. lemma OAI.WeakPureInfiniteness.sum_productGridHatElement_eq_one line 51
  8. lemma OAI.WeakPureInfiniteness.norm_sum_productGridPlateauElement_le line 61