In a known component having a reflector layer, the surface of a base body of quartz glass is covered at least in part with a reflector layer. Starting from this, to provide a component, particularly for use in lamp and reflector manufacture, which is equipped with an efficient, chemically and thermally resistant and, nevertheless, inexpensive reflector layer, it is suggested according to the invention that an SiO2 cover layer should be provided which acts as a diffuse reflector and consists of at least partly opaque quartz glass. The method of the invention for producing such a component is characterized in that a slip which contains amorphous SiO2 particles is produced and applied to the surface of the base body with formation of a slip layer, the slip layer is dried and then vitrified with formation of an SiO2 cover layer.