Commutative C^*-algebras and σ-normal morphisms
classification
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sigmacommutativecompletemonotonenormalalgebraalgebrasapplication
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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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