The invention is a device for operating a high-pressure gas discharge lamp, which is provided with a starting auxiliary electrode, with a current of alternating polarity. The device has a series resonance circuit with a resonance inductive resistor, through which flows the lamp current when the lamp is in operation, and a starting device for subjecting the starting auxiliary electrode to the starting voltage required for starting the gas discharge in the high-pressure gas discharge lamp. There is also a capacitive component, which is connected in series to the resonance inductive resistor and is dimensioned in such a manner that the capacitive component effects, after the gas discharge in the high-pressure gas discharge lamp has been started, at least a partial compensation for the inductance of the resonance inductive resistor, through which the lamp current flows.