OAI/Analysis/Hyperinvariant/Witness.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Hyperinvariant.source_basis_orthonormal line 15

    Source documentation

    The fiber indicators form an orthonormal family in the complex Hilbert space.

    theorem source_basis_orthonormal : Orthonormal ℂ sourceBasis := by
    …
  2. theorem OAI.Hyperinvariant.source_infiniteDimensional line 34
  3. theorem OAI.Hyperinvariant.source_mainClaim line 42

    Source documentation

    The finite-factor construction yields a nonzero norm-quasinilpotent operator whose ordinary commutant has no nontrivial closed invariant subspace.

    theorem source_mainClaim : MainClaim (H := SourceHilbert SourceCoordinate) := by
    …

    Mentions: OAI.Hyperinvariant.MainClaim