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矩阵的\,Young\,型不等式

胡兴凯

胡兴凯. 矩阵的\,Young\,型不等式[J]. 华东师范大学学报(自然科学版), 2012, (4): 12-17.
引用本文: 胡兴凯. 矩阵的\,Young\,型不等式[J]. 华东师范大学学报(自然科学版), 2012, (4): 12-17.
HU Xing-kai. Young type inequalities for matrices[J]. Journal of East China Normal University (Natural Sciences), 2012, (4): 12-17.
Citation: HU Xing-kai. Young type inequalities for matrices[J]. Journal of East China Normal University (Natural Sciences), 2012, (4): 12-17.

矩阵的\,Young\,型不等式

详细信息
  • 中图分类号: O151.21

Young type inequalities for matrices

  • 摘要: 首先给出了若干标量\,Young\,型不等式. 然后在此基础上, 建立了相应的矩阵\,Young\,型不等式.
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    {4} KOSAKI H. Arithmetic-geometric mean and related inequalities for operators [J]. J Funct Anal, 1998, 156: 429-451.
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    {7} HIRZALLAH O, KITTANEH F. Matrix Young inequalities for the Hilbert-Schmidt norm [J]. Linear Algebra Appl, 2000, 308: 77-84.
    {8} BHATIA R, KITTANEH F. Notes on matrix arithmetic--geometric mean inequalities [J]. Linear Algebra Appl, 2000, 308: 203-211.
    {9} KITTANEH F, MANASRAH Y. Improved Young and Heinz inequalities for matrices [J]. J Math Anal Appl, 2010, 361: 262-269.
    {10} ZHAN X. Matrix theory [M]. Beijing: Higher Education Press, 2008. (in Chinese)
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出版历程
  • 收稿日期:  2011-10-01
  • 修回日期:  2012-01-01
  • 刊出日期:  2012-07-25

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