OAI/Analysis/KadisonKastler/ProductScalingWords.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Finite product words as state-scaling partial isometries

All scale ratios here come from the actual two fixed site families.

  1. def OAI.KadisonKastler.matrixSiteBlockScale line 16
  2. theorem OAI.KadisonKastler.PointedMatrixSites.site_weight_pos line 31
  3. theorem OAI.KadisonKastler.PointedMatrixSites.site_entry_mem line 37
  4. theorem OAI.KadisonKastler.PointedMatrixSites.site_entry_scales line 43
  5. theorem OAI.KadisonKastler.PointedMatrixSites.blockEntry_scales line 57
  6. theorem OAI.KadisonKastler.PointedMatrixSites.block_diagonal_weight_ne_zero line 69
  7. def OAI.KadisonKastler.PointedMatrixSites.blockScalingPartialIsometry line 80
  8. theorem OAI.KadisonKastler.PointedMatrixSites.blockScalingPartialIsometry_nonzero line 92
  9. theorem OAI.KadisonKastler.PointedMatrixSites.block_coisometry line 102