Rank and the Drazin inverse in Banach algebras

• Autorzy: R. M. Brits , L. Lindeboom , H. Raubenheimer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H15: Representations of topological algebras
• 46H05: General theory of topological algebras
• 47A99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 3
• Strony: 211-224

Daty

wydano

2006

Twórcy

autor

R. M. Brits

• Department of Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, South Africa

autor

L. Lindeboom

• Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, UNISA 0003, Pretoria, South Africa

autor

H. Raubenheimer

• Department of Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, South Africa

Identyfikatory

DOI

10.4064/sm177-3-2