A radiation-emitting device having comprising: a substrate (1); a first electrode (2) and a second electrode; (9), at least one emitter layer (5) arranged between the first and second electrodes and emitting light in the violet or blue spectral range, wherein the emitter layer comprises a matrix material and, relative to the matrix material, 0.1%-5% by weight of a fluorescent, radiation-emitting emitter and 1-30% by weight of a phosphorescent exciton trap; and wherein the emission maximum of the fluorescent emitter and that of the phosphorescent exciton trap being situated in the blue, violet or ultraviolet spectral range.