OAI/Analysis/BoundedHochschild/CountableDiagonalOperators.lean

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Bounded diagonal operators for a countable orthogonal column system. Their commutation with the generated matrix algebra identifies the diagonal corner as abelian, without a scalar trace or separability assumption.

  1. lemma OAI.BoundedHochschild.KadisonRingrose.countableColumn_star_mul line 23
  2. def OAI.BoundedHochschild.KadisonRingrose.finiteColumnDiagonal line 30
  3. lemma OAI.BoundedHochschild.KadisonRingrose.finiteColumnDiagonal_norm_le line 34
  4. lemma OAI.BoundedHochschild.KadisonRingrose.finiteColumnDiagonal_mul_column line 61
  5. lemma OAI.BoundedHochschild.KadisonRingrose.column_star_mul_finiteColumnDiagonal line 69
  6. theorem OAI.BoundedHochschild.KadisonRingrose.exists_countable_diagonal_operator line 76