Hilbert空间上正算子的下确界
Hilbert공간상정산자적하학계
On the Infimum of Two Positive Operators
  • 万方数据
    滨州学院学报 빈주학원학보
    JOURNAL OF BINZHOU UNIVERSITY
    2009年 3期 42-46 ,共5页

    王少英%田学刚

    왕소영%전학강

    正算子%Shorted算子%下确界%谱 正算子%Shorted算子%下確界%譜
    정산자%Shorted산자%하학계%보
    positive operator%shorted operator%infimum%spectrum
    利用算子矩阵分块技巧,研究了Hilbeft空间ye 上的任意两个正算子A和B的下确界问题,给出了A与正交投影P的下确界A∧P存在的谱刻画及A∧B存在的充要条件,从而推广了一些已有的结论.
    이용산자구진분괴기교,연구료Hilbeft공간ye 상적임의량개정산자A화B적하학계문제,급출료A여정교투영P적하학계A∧P존재적보각화급A∧B존재적충요조건,종이추엄료일사이유적결론.
    In this paper, we investigate the infimum problem of two positive operators A, B on an infi-nite dimensional Hilbert space. By the blok-operator matrix technique,the spectral charicterization when A A P exists and the sufficient and necessary condition in which A A B exists are established.
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