摘要
通过利用一个算子恒等式和关于多个算子的Bohr不等式,得到了关于有界线性算子的几个不等式,所得结果是同行前期结果的改进.同时,通过利用改进的几何-算术平均值不等式,得到了关于算子几何均值和算术均值的一个不等式,所得结果推广了现有的一个不等式.
Some inequalities for bounded linear operators are obtained by using an operator identity and Bohr inequality on some operators, the results are renements and generalizations of some existing inequalities. Also, an inequality on the operator geometric mean and arithmetic mean is obtained by using the improved arithmetic-geomet- ric mean inequality, the result is an extension of the existing inequality.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2014年第4期92-94,F0003,共4页
Journal of Natural Science of Hunan Normal University
基金
国家自然科学基金资助项目(61263034)
