You do have a point as since there are very little air in space there is practically no heat convection to carry away heat, the biggest form of cooling on Earth. But there is still radiant cooling. Anything will emit black body radiation depending on its temperature. So while the front of the spacecraft is baking in the heat from the Sun the rear of the spacecraft is slowly cooling off from this radiant cooling. For the International Space Station you can actually see the white radiators it use for this purpose from some of the angles. They are smaller then the solar panels and angled very differently. These circulate ammonia which is used in the cooling loops on the station.
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