Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603490 | Linear Algebra and its Applications | 2008 | 9 Pages |
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}.
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