Hilbert空间中的g-Riesz-Fischer序列的扰动
Hilbert공간중적g-Riesz-Fischer서렬적우동
The Perturbation of g-Riesz-Fischer Sequences in Hilbert Spaces
  • 万方数据
    三明学院学报 삼명학원학보
    JOURNAL OF SANMING COLLEGE
    2012年 4期 12-16,49 ,共6页

    黄喜娇%韩卫卫%赵绍玉

    황희교%한위위%조소옥

    框架%Riesz—Fischer序列%g-框架%g—Riesz—Fischer序列 框架%Riesz—Fischer序列%g-框架%g—Riesz—Fischer序列
    광가%Riesz—Fischer서렬%g-광가%g—Riesz—Fischer서렬
    frame%Riesz-Fischer sequences%g-flame%g-Riesz-Fischer sequence
    在复Hilbert空间中，结合框架及g-框架的性质，进一步讨论了g-RAesz-Fischer序列的性质，得到了一些重要结论并且给出了g-RAesz-Fischer序列成立的充要条件。此外，还讨论了g-Riesz-Fischer序列的扰动性。
    재복Hilbert공간중，결합광가급g-광가적성질，진일보토론료g-RAesz-Fischer서렬적성질，득도료일사중요결론병차급출료g-RAesz-Fischer서렬성립적충요조건。차외，환토론료g-Riesz-Fischer서렬적우동성。
    A further discussion about the properties of g-Riesz-Fischer sequences combined with the nature of the frame and g-frame is made in this paper. Some important results are obtained and the necessary and sufficient conditions of g-Riesz-Fischer sequences are given. In addition, the perturbation of g-Riesz- Fischer sequences are discussed.
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