| import OAI.Analysis.IrrationalRotation.Model.Commutant | |
| namespace OAI | |
| namespace Invariant233 | |
| variable {H : Type*} [NormedAddCommGroup H] [NormedSpace ℂ H] | |
| def IsConjugation (C : H → H) : Prop := | |
| Function.Involutive C ∧ (∀ x y, C (x + y) = C x + C y) ∧ | |
| (∀ (c : ℂ) x, C (c • x) = star c • C x) ∧ (∀ x, ‖C x‖ = ‖x‖) | |
| end Invariant233 | |
| end OAI | |