Some inequalities for norms on matrices and operators

Some inequalities for norms on matrices and operators
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矩阵和运算符的范数的一些不等式

DOI:
10.1016/s0024-3795(99)00024-5
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发表时间:
1999
影响因子:
1.1
通讯作者:
J. Bourin
J. Bourin
中科院分区:
数学3区
文献类型:
--
作者:
J. Bourin

文献摘要

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本文研究了矩阵范数的几个不等式,特别是Hilbert-Schmidt范数和算子范数。这些不等式发生在比较矩阵X和Y的乘积XY和YX的范数时,具有适当的假设。并指出一些迹不等式。
We study several inequalities for norms on matrices, in particular for the Hilbert–Schmidt and operator norms. These inequalities occur when comparing norms of the products XY and YX for matrices X and Y with suitable assumptions. we also point out some trace inequalities.