The location of each GPS transmitter must be known exactly for the triangulation to work, and existing GPS receivers know nothing about the location of shopping-mall transmitters. They only know about satellites.

So that's why you couldn't do this with existing receivers, but I don't know of any reason why you couldn't make new receivers that cooperate with a new type of ground-based transmitter built into cell towers or similar. Multipath might be a problem but it seems surmountable. Do any radio experts here know why nobody has done anything like this for cell phones? (The Wi-Fi/Bluetooth positioning talked about in the article is based solely on signal strength which is far inferior to the GPS method).