The invention provides a glass door apparatus with a right and a left glass door leaf (10, 100) and functional end caps (40a, 40b, 240a, 240b), which respectively have a protrusion (52a, 52b, 252a, 252b), which, with respect to a lateral front face of the functional end cap protrudes laterally outwards in a manner at least substantially parallel to a pane face of a glass pane of one glass door leaf as well as away from said glass pane, and/or a cavity (54a, 54b, 254a, 254b) which, with respect to said lateral front face, protrudes laterally inwards in a manner is at least substantially parallel to said pane face and towards said glass pane and which, in the opposite direction, opens laterally outwardly, and wherein, in the closed state of glass door apparatus, the protrusion and/or the cavity is/are overlapped with a complementary counterpiece of the other glass door leaf.