Abstract: The invention pertains to a method for operating a lighting system with an ncoherently-emitting radiation source, in particular a discharge lamp (14) that emits UV, IR or visible-range radiation, by means of dielectrically inhibited discharge, and to a lighting system suitable therefor. The electrodes (16-20), which are arranged side by side and separated from each other and the interior of the discharge vessel (15) by dielectric material (21), are alternatingly connected to the two poles (23, 24) of a voltage source (27). In operation, the voltage source (27) supplies a series of voltage pulses separated by quiescent periods. According to the invention, this produces inside the discharge vessel (15) a spatial discharge (26) which in the regions between electrodes of different polarity (16, 17; 17, 18; 18, 19; 19, 20) is at a distance from the surface of the inside wall of the discharge vessel (15).