华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (5): 1-4.

• 应用数学与基础数学 •    下一篇

关于酉不变范数的几个不等式

邹黎敏, 冯玉明   

  1. 重庆三峡学院 数学与统计学院, 重庆 404100
  • 收稿日期:2010-12-01 修回日期:2011-03-01 出版日期:2011-09-25 发布日期:2011-11-22

Inequalities for unitarily invariant norms

ZOU Li-min, FENG Yu-ming   

  1. College of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, China
  • Received:2010-12-01 Revised:2011-03-01 Online:2011-09-25 Published:2011-11-22

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摘要： 首先, 得到并证明了酉不变范数的几个不等式; 然后, 将其与以前的不等式进行了比较. 结果表明, 新不等式比旧不等式更精细.

关键词: 酉不变范数, 半正定矩阵, 连续凸函数, 不等式

Abstract: First, some inequalities for unitarily invariant norms were given and proved. Then these inequalities with previous results were compared. The result showed that the new inequalities are the refinement of old ones.

Key words: unitarily invariant norms, positive semidefinite matrices, continuous convex function, inequality

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