OAI/Analysis/KadisonKastler/PositiveConePowersStormer.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

Powers–Størmer estimate for the generated modular cone

Orthogonal positive decomposition follows from the constructed self-duality. The support-reflection estimate then proves Araki's Theorem 4(8) in precisely the represented cyclic setting used for matrix preparation.

  1. theorem OAI.KadisonKastler.exists_positiveCone_orthogonal_decomposition line 25
  2. theorem OAI.KadisonKastler.positiveCone_norm_sq_le_state_norm line 38