Brake system damping device

A brake system damping device, comprising:

• a first chamber on which hydraulic pressure is to be applied;
• a second chamber in which a compressible medium is located;
• a first separating element configured to separate the first chamber from the second chamber;
• a third chamber in which a compressible medium is located;
• a second separating element configured to separate the second chamber from the third chamber, the second chamber connected to the third chamber in a medium-conducting manner by a passage configured in the second separating element;
• and
• a closure element configured to be moved with the first separating element, the passage configured to be closed by the closure element as soon as the hydraulic pressure in the first chamber has reached a predefined pressure value,
• wherein the first separating element and the second separating element are configured to be preassembled to form an assembly in which the first and second separating elements extend along an axis and the first separating element is covered radially on the outside at least in certain portions by an envelope surface,
• wherein the envelope surface is formed by a hollow cylindrical sleeve disposed on the first separating element, and
• wherein the hollow cylindrical sleeve has a first axial end and a second axial end, the first and second axial ends being open ends.