On the Bohr Inequality of Operators
Journal of Mathematical Analysis and Applications
Bohr inequality, Matrix absolute value, Matrix inequality, Modulus, Operator inequality, Operator absolute value, Polar decomposition, Positive operator
This paper is focused on the operator inequalities of the Bohr type. We will give a new and transparent proof for the operator Bohr inequality through an absolute value operator identity, show some related operator inequalities by means of 2×2 (block) operator matrices, and finally we will present a generalization of the operator Bohr inequality for multiple operators.
Zhang, Fuzhen, "On the Bohr Inequality of Operators" (2007). Mathematics Faculty Articles. 91.