Hölder type inequalities for matrices

Hölder type inequalities for matrices
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矩阵的 Hölder 型不等式

DOI:
10.7153/mia-01-01
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发表时间:
1998
影响因子:
1
通讯作者:
F. Hiai
F. Hiai
中科院分区:
数学4区
文献类型:
--
作者:
T. Andô;F. Hiai

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讨论了半正定矩阵A,B的涉及(AP+BP)1/p的Holder型不等式。得到了Holder型矩阵或迹不等式以及类似类型的弱优超。我们还给出了期望Holder型不等式的反例。数学科目分类(1991):小学15A45,15A42;中学15A60,47A63。
We discuss Holder type inequalites involving (Ap + Bp)1/p for positive semi-definite matrices A , B . Matrix or trace inequalities of Holder type as well as weak majorizations of similar type are obtained. Also we give counter-examples for expected Holder type inequalities. Mathematics subject classification (1991): Primary 15A45, 15A42; Secondary 15A60, 47A63.