Who ran Coco Chanel's empire upon her death?

It , inter alia- by then, was a corporation, therefore beyond the obvious hazards of a one-man ( or woman) act. It still had her name. One could derive and anlogy with, for example Walt Disney, which still uses both prename and surname long after ther eartly departure of the the founding Mousetro ( Disney died inl966). such is a name. Robert Bosch, a German auto parts- electrical mainly is another ( patronymic) example.