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A new proof of the Sobczyk-Hammer decomposition theorem - MaRDI portal

A new proof of the Sobczyk-Hammer decomposition theorem (Q2392534)

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A new proof of the Sobczyk-Hammer decomposition theorem
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    A new proof of the Sobczyk-Hammer decomposition theorem (English)
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    1 August 2013
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    The author gives a simple proof of the Sobczyk-Hammer decomposition theorem in terms of Dedekind complete Riesz spaces. (See [\textit{A.~Sobczyk} and \textit{P.~C.~Hammer}, Duke Math. J. 11, 839--846 (1944; Zbl 0063.07111)].)
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    charge
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    finitely additive measure
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    Riesz space
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    Dedekind complete
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