Abstract: An elevator installation is provided. The installation includes a shaft in which at least two cars are arranged above one another and are movable vertically separately. Each car has a drive device and a brake device. A safety device is provided for monitoring the cars. At least one travel path limiting device is provided, comprising at least one stop element arranged on at least a first car and an associated retaining element arranged in the shaft. In a stop position, the stop element protrudes laterally from the car and interacts with the associated retaining element. All other cars movable in the shaft may pass this retaining element unobstructed. The brake device or its braking action is deactivatable if the car falls below a limit speed, and the stop and retaining elements may brake the car to a standstill at speeds up to at most the limit speed.