关于多个算子形式的Bohr不等式

doi:10.13371/j.cnki.chin.q.j.m.2016.01.005

数学季刊 ›› 2016, Vol. 31 ›› Issue (1): 39-43.doi: 10.13371/j.cnki.chin.q.j.m.2016.01.005

关于多个算子形式的Bohr不等式

Faculty of Light Industry and Energy, Shaanxi University of Science and Technology. College of Electrical and Information Engineering, Shaanxi University of Science and Technology

收稿日期:2014-09-24 出版日期:2016-03-30 发布日期:2020-11-12
作者简介:LIAN Tie-yan(1978-), female, native of Weinan, Shaanxi, a lecturer of Shaanxi University of Science and Technology, M.S.D., engages in operator theory.
基金资助:
Supported by the Key Scientific and Technological Innovation Team Project in Shaanxi Province(2014KCT-15)；

Bohr Inequality for Multiple Operators

Faculty of Light Industry and Energy, Shaanxi University of Science and Technology. College of Electrical and Information Engineering, Shaanxi University of Science and Technology

Received:2014-09-24 Online:2016-03-30 Published:2020-11-12
About author:LIAN Tie-yan(1978-), female, native of Weinan, Shaanxi, a lecturer of Shaanxi University of Science and Technology, M.S.D., engages in operator theory.
Supported by:
Supported by the Key Scientific and Technological Innovation Team Project in Shaanxi Province(2014KCT-15)；

摘要/Abstract

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].

关键词: Bohr inequality, absolute value operator, adjoint operator, mathematical induction

Abstract: 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].

Key words: Bohr inequality, absolute value operator, adjoint operator, mathematical induction

中图分类号:

O177

连铁艳 , 汤伟. 关于多个算子形式的Bohr不等式[J]. 数学季刊, 2016, 31(1): 39-43.

LIAN Tie-yan, TANG Wei. Bohr Inequality for Multiple Operators[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(1): 39-43.

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关于多个算子形式的Bohr不等式

Bohr Inequality for Multiple Operators

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