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
José Saúl Campos Orozco
and Antoni Wawrzyńczyk
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
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.