Commutative $C^*$-algebras and $σ$-normal morphisms

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139948We prove in an elementary fashion that the image of a commutative monotone $σ$-complete $C^*$-algebra under a $σ$-normal morphism is again monotone $σ$-complete and give an application of this result in spectral theory.LaTeX, 5 pages, 1 figure. Relation with existing literature clarifiedOperator AlgebrasFunctional Analysis46L05; 46L10Commutative $C^*$-algebras and $σ$-normal morphismstext