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Additivity of certain functionals and the construction of invariant integrals - MaRDI portal

Additivity of certain functionals and the construction of invariant integrals (Q1104441)

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scientific article; zbMATH DE number 4055962
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Additivity of certain functionals and the construction of invariant integrals
scientific article; zbMATH DE number 4055962

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    Additivity of certain functionals and the construction of invariant integrals (English)
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    1989
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    In the paper we show that certain properties of a functional imply additivity. Using this result we give a short proof for the existence of invariant integrals on locally compact spaces. As a second application we present a proof for the additivity of the upper integral on the set of measurable functions.
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    additivity
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    invariant integrals on locally compact spaces
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