Guys, you misread. He has a tv on a wall and the only place for the cable box to go is in a closet across the room. The remote is easy, an ir extender or a universal remote will take care of that.
Uverse has previously advertised that they offer a wireless cable box, but that is no longer the case.
Look, you have two options: 1) if possible, run a long HDMI cord through the call from the closet to the tv. It sounds like all the work May already be done so that is not possible.
2) buy a wireless HD sender. They are about $200. It has a base transmitter and a receiver. You put the transmitter in the closet with the cable box and plug that into the hdmi in. Then you plug the receiver into the hdmi output on the tv. It is the size of about 2 decks of cards. The one I have needs power so hopefully there is access where the tv is plugged in. You can hang the receiver off the back of the tv. If the closet is in the same room, range should not been an issue. The signal might not be perfect, but it should work well enough.
http://www.amazon.com/IOGEAR-GW3DHDKIT-Wireless-Digital-Channel/dp/B00630WKGI