OAI/Analysis/Hyperinvariant/Witness.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.Hyperinvariant.source_basis_orthonormalline 15Source documentation
The fiber indicators form an orthonormal family in the complex Hilbert space.
theorem source_basis_orthonormal : Orthonormal ℂ sourceBasis := by …
- theorem
OAI.Hyperinvariant.source_infiniteDimensionalline 34 - theorem
OAI.Hyperinvariant.source_mainClaimline 42Source 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