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.
(..) of those ships, however brave makes me more qualified for this away mission. Spock, you're still hurt. She's right, Spock. I acknowledge with respect your concerns. Perhaps you will feel more confident if I were accompanied by someone with familiarity of both the ship and my injury. (..)2016 Star Trek Beyond