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Relationship between solid cones and cones with bases |
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| Authors: | Z Q Han |
| Institution: | (1) Department of Mathematics, Qingdao University, Qingdao, Shandong, PRC |
| Abstract: | This paper establishes a relation between  -based cones and solid cones in a separated locally convex topological vector space. The relation reveals that the properties of the base of a based cone affect deeply the topological properties of the dual cone.The author would like to thank Professor C. C. Huang for his discussion on the proof of Corollary 2.1. The author is also grateful to the referees for helpful comments and suggestions. |
| Keywords: | Vector optimization theory topological vector spaces convex cones |
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