To be famous, it is the state or quality of being widely honored and acclaimed.  The dictionary lists fame as:

-Noun:  1.  widespread reputation, esp. of a favorable character; renown; public eminence: to seek fame as an opera singer.  2.  common estimation or opinion generally held of a person or thing; reputation.

–Verb (used with object):  3. archaic. to have or spread the renown of; to make famous.

For the most part, all the people quoted in these volumes are very famous people!