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Measurability of lattice operations in a cone


Author: Kohur Gowrisankaran
Journal: Proc. Amer. Math. Soc. 41 (1973), 237-240
MSC: Primary 46A40
DOI: https://doi.org/10.1090/S0002-9939-1973-0346479-9
MathSciNet review: 0346479
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Abstract: Let $ X$ be a locally convex Hausdorff topological vector space and $ C$ a convex cone generating $ X$ such that $ C$ is a lattice in its own order. Under suitable conditions $ (x,y) \to \sup (x,y)$ and $ \inf (x,y)$ are shown to be measurable mappings.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0346479-9
Keywords: Ordered vector space, cone, lattice, compact base, Borel function
Article copyright: © Copyright 1973 American Mathematical Society