In an elevator installation an elevator cage is arranged to be movable along guide rails and the elevator cage is equipped with a brake system possibly with two safety brakes. The safety device is activated by way of control devices which can trigger the safety device from critical or non-critical events. The control devices further include a function for automatic resetting of the safety brake when an event, which is evaluated as non-critical, is indicated as a reason for triggering the safety brake. Resetting of the safety brake takes place through execution of pre-defined resetting steps of the elevator cage.