An elevator has an elevator car supporting frame that can travel in a travel space provided for a journey of the elevator car supporting frame. The elevator installation is also provided with a first elevator car and a second elevator car arranged on the elevator car supporting frame. Furthermore, a hydraulic moving element is arranged in a lower end region of the travel space. In this way, the first elevator car can be moved in relation to the second elevator car, by the moving device, in the lower end region of the travel space.