On Drazin invertibility
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- by Pietro Aiena, Maria T. Biondi and Carlos Carpintero PDF
- Proc. Amer. Math. Soc. 136 (2008), 2839-2848 Request permission
Abstract:
The left Drazin spectrum and the Drazin spectrum coincide with the upper semi-$B$-Browder spectrum and the $B$-Browder spectrum, respectively. We also prove that some spectra coincide whenever $T$ or $T^\ast$ satisfies the single-valued extension property.References
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Additional Information
- Pietro Aiena
- Affiliation: Dipartimento di Metodi e Modelli Matematici, Facoltà di Ingegneria, Università di Palermo, Viale delle Scienze, I-90128 Palermo, Italy
- Email: paiena@unipa.it
- Maria T. Biondi
- Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad UCLA de Barquisimeto, Venezuela
- Email: mtbiondi@hotmail.com
- Carlos Carpintero
- Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Oriente,Cumaná, Venezuela
- Email: ccarpi@sucre.edu.udo.ve
- Received by editor(s): November 3, 2006
- Received by editor(s) in revised form: February 26, 2007
- Published electronically: March 28, 2008
- Communicated by: Joseph A. Ball
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 2839-2848
- MSC (2000): Primary 47A10, 47A11; Secondary 47A53, 47A55
- DOI: https://doi.org/10.1090/S0002-9939-08-09138-7
- MathSciNet review: 2399049