Abstract
We discuss the weak completeness of product and direct sum cones in the lower, upper and symmetric topologies. For the weak lower, upper and symmetric topology of a direct sum cone, there correspond bases of upper, respectively lower and symmetric, closed members in a coarser topology which leads us to investigate the weak completeness of direct sum cones.
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Motallebi, M.R. On weak completeness of products and direct sums in locally convex cones. Period Math Hung 75, 322–329 (2017). https://doi.org/10.1007/s10998-017-0201-4
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DOI: https://doi.org/10.1007/s10998-017-0201-4