OAI/Analysis/KadisonKastler/HilbertBlockCompletion.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Contractive completion of a Hilbert-space operator block

A contractive row and a contractive column with the same corner have a common contractive completion. The construction uses the defect isometry and the complementary lift, and is the finite completion step for nests.

  1. def OAI.KadisonKastler.firstCoordinateIsometry line 25
  2. theorem OAI.KadisonKastler.firstCoordinateIsometry_adjoint line 31
  3. theorem OAI.KadisonKastler.exists_contractive_block_completion line 38