established by the control unit 8 on the basis of the measured value output by the temperature sensor 82 that the temperature existing in the supporting strip 1 must be increased the control valve 5 is changed to the effect that the carrier medium is fed by means of the delivery pump 4 to the heating device 6 wherein it is heated whereupon it is led into the channel 11 via the connecting pipe 13 this procedure is maintained until the supporting or wiping strip 1 has the temperature required for the specific operating case by contrast if it is established by the control unit 8 that the temperature existing in the supporting or wiping strip 1 must be reduced the control valve 5 is changed to the effect that the carrier medium is fed by means of the delivery pump 4 to the cooling device 7 wherein it is cooled whereupon it is likewise led via the connecting pipe 13 into the channel 11 this procedure is likewise maintained until the supporting or wiping strip 1 has the temperature required for the specific operating case further control with regard to the heating or cooling of the supporting or wiping strip 1 can also be carried out by the output of the delivery pump 4 being raised or lowered by the control unit 8 if during the operation of a system for paper production it is established by the control unit 8 assigned to the supporting or wiping strip 1 that this supporting or wiping strip.