OAI/Analysis/KadisonKastler/SignedSquareThreshold.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

Signed-square coordinates for spectral cuts

Passing from a spectral value x to x |x| absorbs the weight |t| in Haagerup's spectral-cut integral. The estimates here are scalar.

  1. def OAI.KadisonKastler.signedSquare line 17
  2. theorem OAI.KadisonKastler.abs_signedSquare line 19
  3. theorem OAI.KadisonKastler.signedSquare_gap_le line 22
  4. theorem OAI.KadisonKastler.sq_gap_le_signedSquare line 36
  5. theorem OAI.KadisonKastler.outward_threshold_coefficient line 64
  6. theorem OAI.KadisonKastler.integral_outward_threshold_coefficient line 71