教師資料查詢 | 類別: 期刊論文 | 教師: 譚必信 Tam Bit-shun (瀏覽個人網頁)

標題:On the structure of the cone of positive operators
學年80
學期2
出版(發表)日期1992/04/01
作品名稱On the structure of the cone of positive operators
作品名稱(其他語言)
著者Tam, Bit-Shun
單位淡江大學數學學系
出版者Philadelphia: Elsevier Inc.
著錄名稱、卷期、頁數Linear Algebra and Its Applications 167, pp.65-85
摘要If K1 is a proper cone in Rn1 and K2 is a proper cone in Rn2, then, as is well known, the set π(K1, K2), which consists of all n2 x n1 real matrices which take K1 into K2, forms a proper cone in the space Rn2, n1. In this paper a study of this cone is made, with particular emphasis on its faces and duality operator. A face of π(K1, K2) is called simple if it is composed of all matrices in π(K1, K2) which take some fixed face of K1 into some fixed face of K2. Maximal faces of π(K1, K2) are characterized as a particular kind of simple faces. Relations between the duality operator of π(K1, K2) and those of K1 and K2 are obtained. Among many other results, it is proved that dπ(K1, K2), the duality operator of π(K1, K2), is injective if and only if dK2 is injective and each face of π(K1, K2) is an intersection of simple faces. Two open questions are posed.
關鍵字
語言英文
ISSN0024-3795
期刊性質國外
收錄於SCI
產學合作
通訊作者Tam, Bit-Shun
審稿制度
國別美國
公開徵稿
出版型式紙本
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