Characterizations of some classes of relatively regular operators

✍ Scribed by Christoph Schmoeger

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 114 KB
• Volume: 429
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2008.02.028

✦ Synopsis

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 g 1 -inverse of A. In this paper we characterize some classes of relatively regular operators A via the set {B 1 -B 2 : B 1 and B 2 are g 1 -inverses of A}.