An elevator installation is arranged in a building with at least two elevators, wherein the building is divided into building zones and each elevator has at least one elevator car, each elevator car is independently movable by an associated drive in an associated car zone and each car zone has at least one transfer floor and at least one further transfer floor. A first elevator has at least three elevator cars, which are arranged vertically one above the other and which comprise a middle and two adjacent elevator cars, wherein the middle elevator car is independently movable in a middle car zone and the two adjacent elevator cars are independently movable in two adjacent car zones. The middle car zone and an adjacent car zone serve at least one common floor. In addition, at least one of these car zones is allocated to two building zones.