Abstract
Using the coarsest weak topologies, we present the necessary and sufficient conditions for the weak upper, lower and symmetric compactness of subsets in cones. This leads us to investigate the weakly compact subsets in product cones and discuss the X-topologies of the weakly compact subsets on direct sum cones.
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Motallebi, M.R. Weak compactness in locally convex cones. Positivity 23, 303–313 (2019). https://doi.org/10.1007/s11117-018-0607-0
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DOI: https://doi.org/10.1007/s11117-018-0607-0