I got banned from AdSense a long time ago. The sad thing is, I didn't do anything wrong. It was my first venture in a profitable website and I was due to be paid £200. I sent many many letters of complaint to them. I only ever got one reply and they didn't seem to care at all. Oh well, there's far more profitable things you can do with a website than AdSense, and if I ever need an account it's easy enough to use a family members name. (which is what I suggest you do btw)
S/he mean using your family member or friend's name, then it will be fine to apply with adsense. of course, the website / blog shall not be the same