
doi: 10.2298/fil1716073a
We define the concept of completion for locally convex cones. We show that how a locally convex cone with (SP) can be embedded as an upper dense subcone in an upper complete locally convex cone with (SP). We prove that every upper complete locally convex cone with (SP) is also symmetric complete.
General theory of locally convex spaces, locally convex cones, completion, Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
General theory of locally convex spaces, locally convex cones, completion, Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
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