OAI/Analysis/KadisonSimilarity/Representation/KaplanskyColumns.lean

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Matrix-column Kaplansky approximation in the original C-star algebra.

  1. theorem OAI.KadisonSimilarity.kaplanskyColumnApproximation line 16

    Source 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