体锥与满足角性质锥之间的关系

RELATIONS BETWEEN SOLID CONES AND CONES SATISFYING ANGLE PROPERLY

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 polar cones are thesame. Hence a Remark of Khanh is incorrect.