OAI/Analysis/KadisonKastler/L2ProjectionSynthesis.lean

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10 declarations, 0 contain sorry, 0 declared as axioms

L² synthesis on a projection-rank stratum

The measurable orthonormal coordinates provide actual isometric inclusions from the fixed-coordinate L² spaces into the original coefficient space.

  1. def OAI.KadisonKastler.projectionStratumSynthesis line 23
  2. def OAI.KadisonKastler.projectionStratumAnalysis line 28
  3. theorem OAI.KadisonKastler.projectionStratumSynthesis_analysis line 33
  4. theorem OAI.KadisonKastler.projectionStratumSynthesis_fixed line 41
  5. theorem OAI.KadisonKastler.projectionStratumAnalysis_synthesis line 52
  6. theorem OAI.KadisonKastler.projectionStratumAnalysis_apply_norm_le line 59
  7. theorem OAI.KadisonKastler.projectionStratumSynthesis_measurable line 69
  8. theorem OAI.KadisonKastler.projectionStratumAnalysis_measurable line 76
  9. def OAI.KadisonKastler.l2ProjectionStratumSynthesis line 84
  10. theorem OAI.KadisonKastler.l2ProjectionStratumSynthesis_ae line 91