Document Type



Mathematics (HMC)

Publication Date



In [ABN], Araujo, Beckenstein, and Narici add the capstone to a series of papers by several groups of authors by showing that if ρ is a biseparating map between two algebras of all real or complex-valued functions on realcompact spaces, then it is a continuous multiple of an isomorphism between these rings. Their proof uses relatively powerful analytic and topological techniques. In what follows, the extent to which such a result can be generalized to a wider class of algebras using algebraic techniques is investigated. We are unable, however to obtain the main result of [ABN] using these techniques.


Previously linked to as:,275.

Publisher pdf, posted with permission.

Rights Information

© 2000 American Mathematical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.