淡江大學機構典藏:Item 987654321/41392
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41392


    Title: Linear maps preserving permutation and stochastic matrices
    Authors: Li, C. K.;譚必信;Tam, Bit-shun;Tsing, N. K.
    Contributors: 淡江大學數學學系
    Keywords: Linear preserver;Stochastic matrix;Permutation matrix
    Date: 2002-01-15
    Issue Date: 2010-01-28 07:27:29 (UTC+8)
    Publisher: Elsevier
    Abstract: Let Full-size image (<1 K) be the set of n×n (sub)permutation matrices, doubly (sub)stochastic matrices, or the set of m×n column or row (sub)stochastic matrices. We characterize those linear maps T on the linear span of Full-size image (<1 K) that satisfy Full-size image (<1 K). Partial results concerning those linear maps T satisfying Full-size image (<1 K) are also presented.
    Relation: Linear Algebra and Its Applications 341(1-3), pp.5-22
    DOI: 10.1016/S0024-3795(00)00242-1
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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