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On Measures with Values in Partially Ordered Spaces

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Abstract

Let (X, L) be a measurable space and X be of the power of the continuum. Letμ be a measure on X with values in partially ordered Abelian group G. Usingg-regularity of G and under the continuum hypothesis, the analogy of the Banachproblem for μ is solved in a case when lattice structure of G is not supposed(this is the case, e.g., in the ordered vector space of Hermitian operators in aHilbert space).

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, 812 19, Bratislava, Slovakia

    Peter Volauf

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  1. Peter Volauf
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Volauf, P. On Measures with Values in Partially Ordered Spaces. International Journal of Theoretical Physics 39, 963–968 (2000). https://doi.org/10.1023/A:1003655703240

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  • DOI: https://doi.org/10.1023/A:1003655703240

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