International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 15, Pages 2399-2407
doi:10.1155/IJMMS.2005.2399
Regularities and subspectra for commutative Banach algebras
Departamento de Matemáticas, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana - Unidad Iztapalapa, 186 Avenida San Rafael Atlixco, Col. Vicentina, C.P. 09 340, Distrito Federal, AP 55-534, Mexico
Received 27 October 2004; Revised 7 July 2005
Copyright © 2005 José Saúl Campos Orozco and Antoni Wawrzyńczyk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We introduce regularities in commutative Banach algebras in such a way that each regularity defines a joint spectrum on the algebra that satisfies the spectral mapping formula.