A characterization of commutative Fréchet algebras with all ideals closed
Volume 138 / 2000
Studia Mathematica 138 (2000), 293-300
DOI: 10.4064/sm-138-3-293-300
Abstract
Let A be a commutative unital Fréchet algebra, i.e. a completely metrizable topological algebra. Our main result states that all ideals in A are closed if and only if A is a noetherian algebra
