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

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We 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 clarified

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Operator Algebras, Functional Analysis, 46L05; 46L10

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http://salesiana.dossiersoluciones.com/handle/123456789/139948

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311107
 http://arxiv.org/abs/math/0311107

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arXiv