Banach Algebra of Continuous Functionals and the Space of Real-Valued Continuous Functionals with Bounded Support
In this article, we give a definition of a functional space which is constructed from all continuous functions defined on a compact topological space. We prove that this functional space is a Banach algebra. Next, we give a definition of a function space which is constructed from all real-valued continuous functions with bounded support. We prove that this function space is a real normed space.
 Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.