OAI/Analysis/KadisonSimilarity/Representation/KaplanskyColumns.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Matrix-column Kaplansky approximation in the original C-star algebra.
- theorem
OAI.KadisonSimilarity.kaplanskyColumnApproximationline 16Source documentation
The column approximation input follows from the proved unit-ball Kaplansky theorem. The constructed column even has norm at most one.
theorem kaplanskyColumnApproximation (σ : A →⋆ₐ[ℂ] (H →L[ℂ] H)) : KaplanskyColumnApproximation σ := by …Mentions: OAI.KadisonSimilarity.KaplanskyColumnApproximation