OAI/Analysis/OInfinity/TensorApproximation.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

The finite Fock approximations in arbitrary tensor completions

Pointwise convergence is independent of the C*-norm on the algebraic tensor product. The uniform compression bound is a separate step in proving uniqueness of that norm.

  1. lemma OAI.WeakPureInfiniteness.linearMap_error_add line 20
  2. lemma OAI.WeakPureInfiniteness.finiteFockCoefficient_norm_le line 28
  3. lemma OAI.WeakPureInfiniteness.oInfinityFockReturn_mem_adjoin line 48
  4. lemma OAI.WeakPureInfiniteness.exists_oInfinityApproximation_polynomial line 81
  5. theorem OAI.WeakPureInfiniteness.fockOperatorRepresentation_injective line 87
  6. def OAI.WeakPureInfiniteness.oInfinityTensorApproximation line 104
  7. lemma OAI.WeakPureInfiniteness.oInfinityTensorApproximation_tmul line 108
  8. lemma OAI.WeakPureInfiniteness.oInfinityTensorApproximation_tmul_error line 113
  9. theorem OAI.WeakPureInfiniteness.oInfinityTensorApproximation_error_tendsto line 120