Abstract
We present a new version of the Daniell-Stone representation theorem for certain lattice cones of [0, ∞[-valued functions. It contains a new version of the Riesz representation theorem on Hausdorff topological spaces. The latter result characterizes those elementary integrals, defined on certain lattice cones of upper semicontinuous [0, ∞[-valued functions concentrated on compact subsets, which come from Radon measures.
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Dedicated to Professor A.C. Zaanen on the occasion of his 80th Birthday
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© 1995 Birkhäuser Verlag Basel/Switzerland
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König, H. (1995). The Daniell-Stone-Riesz Representation Theorem. In: Huijsmans, C.B., Kaashoek, M.A., Luxemburg, W.A.J., de Pagter, B. (eds) Operator Theory in Function Spaces and Banach Lattices. Operator Theory Advances and Applications, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9076-2_12
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DOI: https://doi.org/10.1007/978-3-0348-9076-2_12
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