酉不变范数不等式

Inequalities For Unitarily Invariant Norms

针对酉不变范数不等式问题,先给出一组新的标量不等式,进而利用新标量不等式与谱分解定理,得到关于矩阵酉不变范数新的不等式。与前人的结果相比较,新不等式推广了相关文献的结果。

In view of the unitarily invariant norm inequalities,some new inequalities for scalars are given. Then,some new inequalities of unitarily invariant norms for matrices are given by using the spectral theorem and some inequalities for scalars. New inequalities are refinements of some existing inequalities.