English  |  正體中文  |  简体中文  |  Items with full text/Total items : 52333/87441 (60%)
Visitors : 9098460      Online Users : 299
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41381

    Title: On the structure of the cone of positive operators
    Authors: Tam, Bit-Shun
    Contributors: 淡江大學數學學系
    Date: 1992-04
    Issue Date: 2013-06-13 11:25:14 (UTC+8)
    Publisher: Philadelphia: Elsevier Inc.
    Abstract: 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.
    Relation: Linear Algebra and Its Applications 167, pp.65-85
    DOI: 10.1016/0024-3795(92)90339-C
    Appears in Collections:[數學學系暨研究所] 期刊論文

    Files in This Item:

    File SizeFormat
    0024-3795_167p65-85.pdf1360KbAdobe PDF95View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback