Department of Mathematics2024-11-0920060025-587410.1007/s00209-006-0003-52-s2.0-33749645139http://dx.doi.org/10.1007/s00209-006-0003-5https://hdl.handle.net/20.500.14288/13939In this paper we prove the Theorem: Let A be a Banach algebra with a bounded approximate identity (=BAI) such that every proper closed ideal of A is contained in a proper closed ideal with a BAI. Then a multiplier T : A -> A has a closed range iff T factors as a product of an idempotent multiplier and an invertible multiplier.MathematicsWhen is the range of a multiplier on a Banach algebra closed?Journal Article242407500003Q312483