The Lebesgue decomposition theorem for partially ordered semigroup-valued measures

Pavlakos, Panaiotis K.

doi:10.1090/S0002-9939-1978-0487449-4

The Lebesgue decomposition theorem for partially ordered semigroup-valued measures
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by Panaiotis K. Pavlakos

Proc. Amer. Math. Soc. 71 (1978), 207-211

DOI: https://doi.org/10.1090/S0002-9939-1978-0487449-4

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Abstract:

The present paper is concerned with partially ordered semigroup-valued measures. Below are given generalizations of the classical Lebesgue Decomposition Theorem. These results can be applied to Stone or ${W^ \ast }$ algebra-valued positive measures (cf. [3], [12], [13], [14]).

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