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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/6001


    Title: 線性變換的代數等價
    Other Titles: Algebraic Equivalence of Linear Transformation
    Authors: 陳功宇
    Contributors: 淡江大學數學學系
    Keywords: 線性變損;代數等價;Linear transformation;Algebraic equivalence
    Date: 1994
    Issue Date: 2009-03-16 13:09:09 (UTC+8)
    Abstract: 給定T是在複希氏空間上的有界線性算子,我 們用C/sup */(T)表示由I(恆等算子)與T所生成的C /sup */-代數.如果在C/sup */(A)與C/sup */(B)之間有 一個*同構.pi.滿足.pi.(A)=B,則稱A與B為代數等價. 當A與B是正規算子,則A與B代數等價的充要條件 是正為大家所知的:A與B有相同的質譜.而本人 則完全解決了兩準正規算子何時互為代數等價 的問題.在本研究計畫中,我們將考慮在有限維 希氏空間上,兩算子何時為代數等價的問題.
    Appears in Collections:[Graduate Institute & Department of Mathematics] Research Paper

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