A dishwashing machine is provided with a washing compartment, an ozone generator, and devices for washing items to be washed using a washing solution, as well as with a storage device that is connected to the washing compartment in an air-conducting manner. The storage device serves, on the one hand, to store ozone and/or hydroxyl radicals as they form or are produced and, on the other hand, to release ozone and/or hydroxyl radicals during a partial program step drying and/or a non-operating phase of the dishwashing machine whereby effecting a deodorizing.