OAI/Analysis/KadisonSimilarity/Representation/ContinuousL2Multiplication.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Continuous scalar multiplication on L², with the exact pointwise formula and continuous-function coordinates used in spectral assembly.

  1. theorem OAI.KadisonSimilarity.continuousL2Mul_memLp line 16
  2. def OAI.KadisonSimilarity.continuousL2MulVector line 24
  3. theorem OAI.KadisonSimilarity.continuousL2MulVector_ae line 27
  4. def OAI.KadisonSimilarity.continuousL2MulLinear line 30
  5. theorem OAI.KadisonSimilarity.continuousL2MulVector_norm line 54
  6. def OAI.KadisonSimilarity.continuousL2Mul line 61
  7. theorem OAI.KadisonSimilarity.continuousL2Mul_ae line 64
  8. theorem OAI.KadisonSimilarity.continuousL2Mul_toLp line 69