Question: is amazon paying any money to the owners of the books every time it is being viewed. one important analogy is that the first time the library is made

Question: is amazon paying any money to the owners of the books every time it is being viewed. one important analogy is that the first time the library is made it has to pay to buy all the books for lending later. But an online library probably can just distribute copies instead. Can anyone highlight what laws are going to be followed here and how the authors are going to paid for using this service ? Also will authors have the right to put their books out of bounds of amazon?