For instance,
Aの髪は黒い (1)
vs
Aは髪が黒い (2)
(and possibly also)
Aの髪が黒い (3)
My understanding is that they all mean the same thing, except that (1) and (3) differ by which part of the sentence is emphasized (after the particle for (1), while before for (3)). But I'm not too certain about the implication for (2) in this case.