OAI/Analysis/KadisonKastler/PositiveMatrixAveraging.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Faithfulness of finite matrix averaging on the positive cone

The explicit central-vector projection preserves separation. Positivity prevents cancellation between its matrix-unit quadratic summands, and the diagonal matrix units sum to the identity.

  1. theorem OAI.KadisonKastler.positiveCone_projection_kills_sum line 32
  2. theorem OAI.KadisonKastler.positiveCone_projection_kills_quadratic line 51
  3. theorem OAI.KadisonKastler.matrixCentralProjection_separating line 65