| 標題：A study of projectionally exposed cones |
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| 學年 | 79 |
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| 學期 | 1 |
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| 出版（發表）日期 | 1990/10/01 |
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| 作品名稱 | A study of projectionally exposed cones |
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| 作品名稱（其他語言） | |
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| 著者 | Sung, Chen-Han; Tam, Bit-Shun |
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| 單位 | 淡江大學數學學系 |
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| 出版者 | Philadelphia: Elsevier Inc. |
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| 著錄名稱、卷期、頁數 | Linear Algebra and Its Applications 139, pp.225-252 |
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| 摘要 | In view of possible applications to abstract convex programs, Barker, Laidacker, and Poole have made an initial study of p-exposed cones and o.p.-exposed cones by restricting their attention to closed, pointed cones. A study of these cones is continued in this paper. Sufficient conditions for a face of a proper cone to be a p-exposed or an o.p.-exposed face are established. Characterizations of o.p.-exposed cones among polyhedral cones are also obtained. The relation between exposedness and p-exposedness of faces of a general cone is examined. As one consequence, a question posed by Iochum is answered in the finite dimensional case; that is, there is no finite-dimensional semiregular self-dual cones which are not regular. Also, a conjecture posed by Barker and Thompson on p-exposed faces of P(n), that the cone of all real polynomials of degree⩽n which are nonnegative on the closed interval [0,1], is settled. |
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| 關鍵字 | |
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| 語言 | 英文 |
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| ISSN | 0024-3795 |
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| 期刊性質 | 國外 |
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| 收錄於 | SCI |
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| 產學合作 | |
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| 通訊作者 | Tam, Bit-Shun |
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| 審稿制度 | |
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| 國別 | 美國 |
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| 公開徵稿 | |
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| 出版型式 | 紙本 |
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| 相關連結 | |
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