On weak completeness of products and direct sums in locally convex cones

On weak completeness of products and direct sums in locally convex cones

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...

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Veröffentlicht in:Periodica mathematica Hungarica 2017-12, Vol.75 (2), p.322-329
1. Verfasser: Motallebi, M. R.
Format: Artikel
Sprache:eng
Schlagworte:
Completeness
Cones
Mathematics
Mathematics and Statistics
Topology
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Zusammenfassung: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.
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-017-0201-4