My previous post was solely in reply to JoanTB.
Looking at the original question, it looks like you are trying to shield the asset from the owner's creditors. Organizing as an LLC or Corporation will not accomplish this. Whether you call the ownership interest "shares" or "membership", it is still available to be executed against. The purpose of an LLC or corporation is to shield the owner from the debts of the company, not vice-versa. (However, I think it does accomplish the objective that the building can't be liened or sold by force, depending on the relative value of the debt and the company; instead, a judgment creditor might only get an ownership interest in the company, and might even become the majority member or sole member.) A trust might or might not accomplish what you are looking for, but as others have stated, this is a legal question, not a tax or accounting question.