The invention relates to a clamping system as a point of separation inside a tool or workpiece support system 8, or as an interface between a tool or workpiece support system 8 and a machine tool 4, 6, for the detachable, non-positive connection of two clamping system parts 8, 4. According to the present invention, it is proposed to coat at least one joining surface of a joining surface pairing 105, 121; 202, 405; 204, 104; 106, 404; 185, 205; 187, 206 or 104, 421 between components of the clamping system parts that are to be connected in non-positive fashion with a layer of solid lubricant applied in an abrasion-resistant manner. On the one hand, this coating with solid lubricant enables significant improvement in the sliding characteristics of the joining surfaces, subjected to friction, of the components of the clamping system to be connected with one another. On the other hand, the joining surfaces, which are in addition subjected to a high surface pressure, exhibit improved corrosion characteristics. These characteristics ensure the required positional accuracy of the two clamping system parts, even in the case of tool or workpiece support systems rotating at high speed.