Officials said strong winds appeared to have caused the building apparatus to tumble into the building.
What we know happened
According to Norwegian media, only a small number of people were in the mall when the crane collapsed at 9:17 a.m. local time (0817 UTC/GMT). It damaged the first and second floors of the shopping center.
Firefighters combed the building looking for people, using dogs and a drone in their search of the mall in the town of Melhus, some 18 kilometers (11 miles) south of Trondheim.
One person was found dead with two others injured — one of whom was taken to a hospital emergency room with crush injuries.
The roof inside the shopping mall had caved in, the Tronderbladet newspaper reported.
Norwegian news agency NTB said police were looking into securing other tall machinery nearby, with a second crane on the same building site.
The Norwegian Meteorological Institute reported strong winds across Norway on Friday.
The unmanned crane — at least 50 meters (165 feet) high — was at a construction area near the shopping center as part of work to add new shops and apartments to the site.