Rank and the Drazin inverse in Banach algebras

dc.contributor.author	Brits R.M.	en
dc.contributor.author	Lindeboom L.	en
dc.contributor.author	Raubenheimer H.	en
dc.date.accessioned	2012-11-01T16:31:29Z
dc.date.available	2012-11-01T16:31:29Z
dc.date.issued	2006	en
dc.identifier.citation	Studia Mathematica	en
dc.identifier.citation	177	en
dc.identifier.citation	3	en
dc.identifier.issn	393223	en
dc.identifier.other	10.4064/sm177-3-2	en
dc.identifier.uri	http://hdl.handle.net/10500/7296
dc.description.abstract	Let A be an arbitrary, unital and semisimple Banach algebra with nonzero socle. We investigate the relationship between the spectral rank (defined by B. Aupetit and H. Mouton) and the Drazin index for elements belonging to the socle of A. In particular, we show that the results for the finite-dimensional case can be extended to the (infinite-dimensional) socle of A.	en
dc.language.iso	en	en
dc.subject	Drazin inverse; Rank; Semisimple Banach algebra	en
dc.title	Rank and the Drazin inverse in Banach algebras	en
dc.type	Article	en