A heat-insulated wall is formed of two covering layers configured to be substantially vacuum-tight and are disposed at a distance from one another. The two covering layers are connected to one another by a connecting profile that runs along their contour and has a U-shaped cross-section. The two covering layers together with the connecting profile, enclose an intermediate space which can be evacuated and filled with heat-insulating material which can also be evacuated. The U-shaped connecting profile is equipped with limbs whose material thickness is at least approximately in the same order of magnitude as the material thickness of the covering layers, and has a base which connects the two limbs and is configured like a sheet.