Yeah, but - - -
You could have a government, like the US or Chinese, create a corporation sort of like the US Postal Service. The government would pay for the space exploration, and the captive corporation would own it as a "private" entity.
Nope. Don't think "ownership" in a classical sense will work. I suppose a country could own their structures, but owning the "land" itself is just an excuse for chicanery.
Arf