0 to stop, abandon -- smettere, abbandonare
They gave up the search.
1 to stop using etc -- rinunciare a
2 to hand over (eg oneself or something that one has) to someone else -- arrendersi; consegnare
He was eventually persuaded to give up the stolen jewels.
3 to devote (time etc) to doing something -- dedicare
4 (often with asor for) to consider (a person, thing etc) to be -- considerare come