Article ID Journal Published Year Pages File Type
4603490 Linear Algebra and its Applications 2008 9 Pages PDF
Abstract

A bounded linear operator A on a Banach space is called relatively regular, if there is a bounded linear operator B such that ABA=A. In this case B is called a g1-inverse of A. In this paper we characterize some classes of relatively regular operators A via the set {B1-B2:B1 and B2 are g1-inverses of A}.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory