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

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

2003-11-07

arxiv.org/abs/math/0311107v2

Mathematics

Operator Algebras

LaTeX, 5 pages, 1 figure. Relation with existing literature clarified

Scientific paper

We prove in an elementary fashion that the image of a commutative monotone
$\sigma$-complete $C^*$-algebra under a $\sigma$-normal morphism is again
monotone $\sigma$-complete and give an application of this result in spectral
theory.

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