关于算子形式的Bohr不等式的推广

The Generalization of Bohr inequality for Operator

采用算子论中的方法和技巧,研究了Bohr不等式的有界线性算子形式的推广,并且给出一些算子不等式,这样对文[4-5]中的结果进行了推广.进一步研究了Bohr不等式在算子范数上的性质,推广了文[6]中的相关结果.

Using the approaches and techniques of operator theory,the generalization of Bohr inequality for bounded and linear operator is researched.Some operator inequalities are given,and then the results of are promoted.Moreover,the norm form for Bohr inequality is studied,the relative result of [6] can be obtained.