斜对角2×2分块算子矩阵的二次数值半径不等式  

Quadratic Numerical Radius Inequalities of Off-diagonal 2×2 Block Operator Matrices

作　　者：萨日娜 吴德玉[1] 阿拉坦仓 Sarina De;Yu WU(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,P.R.China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]内蒙古师范大学,呼和浩特010022

出　　处：《数学学报（中文版）》2022年第1期147-152,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(11561048,11761029);内蒙古自然科学基金(2019MS01019,2020ZD01)。

摘　　要：本文研究了Hilbert空间上斜对角2×2分块有界算子矩阵A=[0BC0]的二次数值半径不等式,应用非负实数的经典凸性不等式推广了A的二次数值半径不等式.In this paper,the quadratic numerical radius inequalities of off-diagonal block operator matrix A=[0BC0] whose entries are bounded operators on the Hilbert space is studied.According to the classical convexity inequalities of non-negative real numbers,the quadratic numerical radius inequalities of A is generalized.

关 键 词：斜对角分块算子矩阵 二次数值半径 混合Schwarz不等式 JENSEN不等式 

分 类 号：O175.3[理学—数学]