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体锥与满足角性质锥之间的关系

韩志清   

  1. 大连理工大学应用数学系!大连,116024
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1998-01-15 发布日期:1998-01-15

韩志清. 体锥与满足角性质锥之间的关系[J]. 系统科学与数学, 1998, 18(1): 18-022.

Han Zhiqing. RELATIONS BETWEEN SOLID CONES AND CONES SATISFYING ANGLE PROPERLY[J]. Journal of Systems Science and Mathematical Sciences, 1998, 18(1): 18-022.

RELATIONS BETWEEN SOLID CONES AND CONES SATISFYING ANGLE PROPERLY

Han Zhiqing   

  1. (Department of Applied Mathematics, Dalian University of Technology, Dalian 116024)
  • Received:1900-01-01 Revised:1900-01-01 Online:1998-01-15 Published:1998-01-15
本文证明:当锥Λ的极锥是尖锥或由不含θ点的闭球体张成时,Λ是体锥;拟多面体锥Λ和极锥Λ*弱*内部非空锥类是一致的并指出了P.Q.Khanh(1992年)的一个错误.
In this paper we prove that if the polar cone Λ* of a closed convex cone Λis sharp or is generated by a closed ball not containing θ, then Λ is solid. We also prove thatquasi--polyhedron cones and cones with non-empty weak-star interior of p
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