Let (X, d) be a metric space with at least two elements and (A, p l ) be a commutative semisimple Frechet algebra over the scalar field C. The correlation between the BSE-property of the Frechet algebra (A, p l ) and Lip d (X, A) is assessed. It is found and approved that if Lip d (X, A) is a BSE-Frechet algebra, then so is A. The opposite correlation will hold if (A, p l ) is unital.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.