Ercan, Zafer A new proof of the Sobczyk-Hammer decomposition theorem. (English) Zbl 1276.28005 Real Anal. Exch. 37(2011-2012), No. 2, 489-492 (2012). The author gives a simple proof of the Sobczyk-Hammer decomposition theorem in terms of Dedekind complete Riesz spaces. (See [A. Sobczyk and P. C. Hammer, Duke Math. J. 11, 839–846 (1944; Zbl 0063.07111)].) Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28A10 Real- or complex-valued set functions 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces Keywords:charge; finitely additive measure; Riesz space; Dedekind complete Citations:Zbl 0063.07111 PDF BibTeX XML Cite \textit{Z. Ercan}, Real Anal. Exch. 37, No. 2, 489--492 (2012; Zbl 1276.28005) Full Text: DOI Euclid References: [1] C. D. Aliprantis and K. C. Border, Infinite Dimensional Analysis. A Hitchhiker’s Guide , Springer, Berlin, 2006. · Zbl 1156.46001 [2] G. Barbieri, A. Valente and H. Weber, Decomposition of l-group valued measures , Czechoslovak Math. Journal, · Zbl 1274.28025 [3] W. Siebe, On the Sobczyk-Hammer decomposition of additive set functions , Proc. Amer. Math. Soc. 86 (3) (1982) 447-450. · Zbl 0506.28002 [4] A. Sobczyk and P. C. Hammer, A decomposition of additive set functions , Duke Math. J. 11 (1944) 839-846. · Zbl 0063.07111 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.