She 'is' widely/generally 'acknowledged' as one of the world's best chefs. [=many people regard her as one of the world's best chefs]
He refuses to 'acknowledge' the authority of the court. [=he denies that the court has authority]
The players 'acknowledged' their fans by waving their hands and blowing kisses into the crowd.
(..) You see, I... I am crazy. I take the newer medications... ...but I still see things that are not here. I just choose not to acknowledge them. Like a diet of the mind, I choose not to indulge certain appetites. Like my appetite for patterns. Perhaps my appetite to imagine and to dream. (..)2001 A Beautiful Mind