ПОСТАВИТЬ КРЕСТ

1. • на ком, на кого having become disillusioned with someone, to cease hoping for anything good from him: have up on someone (as hopeless)
   • write someone off
   • erase from memory
2. • на чeм, на что having become convinced that something is worthless, some undertaking is sure to fail etc. to stop thinking about it, stop investing time, energy etc. into it: give something up as hopeless (lost, a waste of time)
   • kiss something good-bye (goodbye)
   • write something off
   • call it quits with something
   • erase from memory