Rather, a library was a thing recognized as a particular physical and social institution. And though there was no uniform meaning for a library over space and time, we can still get the general outlines of what constituted a library as a discrete concept in the Greek and Roman worlds: a space conceptually centered around the storage and use of books
This is an important point did the people socially associate this building with the definition the author has put forth. It is hard to say because there is no uniform meaning. however there are still some general outlines of what is a library.