OAI/Analysis/KadisonKastler/CyclicStateCompression.lean

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10 declarations, 0 contain sorry, 0 declared as axioms

Compression along a state-preserving inclusion

The GNS isometry supplies a concrete unital positive compression and its matrix coefficients. It will be used to prescribe the two product marginals.

  1. theorem OAI.KadisonKastler.gns_matrix_coefficient line 22
  2. def OAI.KadisonKastler.gnsInclusion line 29
  3. theorem OAI.KadisonKastler.gnsInclusion_isometry line 34
  4. theorem OAI.KadisonKastler.gnsInclusion_vector line 40
  5. theorem OAI.KadisonKastler.gnsInclusion_intertwines line 51
  6. theorem OAI.KadisonKastler.gnsInclusion_orbit line 58
  7. def OAI.KadisonKastler.gnsCompression line 68
  8. theorem OAI.KadisonKastler.gnsCompression_state line 72
  9. theorem OAI.KadisonKastler.gnsCompression_pairing line 86
  10. theorem OAI.KadisonKastler.gnsCompression_eq_of_pairings line 97