Abstract. The Banach algebra C(S) is characterized for the case when S is a Boolean space. The characterization is done in terms of properties of its idempotent members.
1991 Mathematics Subject Classification. 46J10, 06E15, 46J25, 46H15, 46J40.
Key words and phrases. Banach algebra, Boolean algebra, Boolean ring, Boolean space, Stone Representation Theorem, totally disconnected space, idempotents.