OAI/Analysis/OperatorAlgebra/ScalarLpProjection.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Measurable spectral projections on scalar L² as indicator multiplication operators.

  1. lemma OAI.WeakPureInfiniteness.indicator_one_bound line 16
  2. def OAI.WeakPureInfiniteness.scalarLpProjection line 20
  3. lemma OAI.WeakPureInfiniteness.scalarLpProjection_ae line 25
  4. lemma OAI.WeakPureInfiniteness.scalarLpProjection_norm_le line 35
  5. lemma OAI.WeakPureInfiniteness.scalarLpProjection_mul line 39
  6. lemma OAI.WeakPureInfiniteness.scalarLpProjection_idempotent line 52
  7. lemma OAI.WeakPureInfiniteness.scalarLpProjection_star line 56
  8. lemma OAI.WeakPureInfiniteness.scalarLpProjection_isStarProjection line 68