INTEGRAL EQUATIONS AND OPERATOR THEORY, vol.61, no.3, pp.341-364, 2008 (Peer-Reviewed Journal)
Article / Article
INTEGRAL EQUATIONS AND OPERATOR THEORY
Science Citation Index Expanded, Scopus
regularities, subspectrum, characters, JOINT SPECTRA, SUBALGEBRAS, PROPERTY, FAMILY
In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and prove that there is a correspondence between them similar to the commutative case. This correspondence involves a radical on a class of Banach algebras equipped with a subspectrum. Taylor and Slodkowski spectra for noncommutative tuples of bounded linear operators are the main examples of subspectra in the noncommutative case.