Barnes and Noble and Amazon during the last few years developed eBook lending programs that authors and publishers can opt into. (goodereader.com)
Recorded Books is separately working on its own library ebook lending program, which will allow publishers a great deal of flexibility in how they make their ebooks available to libraries. (gigaom.com)
Sadly, it looks like Amazon may be the one to do it with their Kindle ebook lending program. (reddit.com)