Bohr Inequality for Multiple Operators  

作　　者：LIAN Tie-yan TANG Wei 

机构地区：[1]Faculty of Light Industry and Energy, Shaanxi University of Science and Technology [2]College of Electrical and Information Engineering, Shaanxi University of Science and Technology

出　　处：《Chinese Quarterly Journal of Mathematics》2016年第1期39-43,共5页数学季刊（英文版）

基　　金：Supported by the Key Scientific and Technological Innovation Team Project in Shaanxi Province(2014KCT-15)

摘　　要：An absolute value equation is established for linear combinations of two operators.When the parameters take special values, the parallelogram law of operator type is given. In addition, the operator equation in literature [3] and its equivalent deformation are obtained.Based on the equivalent deformation of the operator equation and using the properties of conjugate number as well as the operator, an absolute value identity of multiple operators is given by means of mathematical induction. As Corollaries, Bohr inequalities are extended to multiple operators and some related inequalities are reduced to, such as inequalities in [2]and [3].An absolute value equation is established for linear combinations of two operators.When the parameters take special values, the parallelogram law of operator type is given. In addition, the operator equation in literature [3] and its equivalent deformation are obtained.Based on the equivalent deformation of the operator equation and using the properties of conjugate number as well as the operator, an absolute value identity of multiple operators is given by means of mathematical induction. As Corollaries, Bohr inequalities are extended to multiple operators and some related inequalities are reduced to, such as inequalities in [2]and [3].

关 键 词：Bohr inequality absolute value operator adjoint operator mathematical induction 

分 类 号：O177.1[理学—数学]