OAI/Analysis/FiniteFactor/Model.lean
5 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.FiniteFactor.HasScalarCenterline 14Source documentation
A concrete factor has scalar center.
Also declared: ComparatorChallenges/FiniteFactor.lean:14 (same declaration text).
def HasScalarCenter (M : VonNeumannAlgebra H) : Prop := …
- def
OAI.FiniteFactor.IsFiniteAlgebraline 18Source documentation
Finiteness: every isometry in the algebra is unitary.
Also declared: ComparatorChallenges/FiniteFactor.lean:18 (same declaration text).
def IsFiniteAlgebra (M : VonNeumannAlgebra H) : Prop := …
- def
OAI.FiniteFactor.HasNoMinimalProjectionline 22Source documentation
No nonzero projection is minimal, excluding matrix factors.
Also declared: ComparatorChallenges/FiniteFactor.lean:22 (same declaration text).
def HasNoMinimalProjection (M : VonNeumannAlgebra H) : Prop := …
- def
OAI.FiniteFactor.HasSeparablePredualline 27Source documentation
A separable Banach space whose dual is conjugate-linearly isometric to M.
Also declared: ComparatorChallenges/FiniteFactor.lean:27 (same declaration text).
def HasSeparablePredual (M : VonNeumannAlgebra H) : Prop := …
- def
OAI.FiniteFactor.MainTargetline 32Also declared: ComparatorChallenges/FiniteFactor.lean:32 (same declaration text).