On the Bohr Inequality of Operators

Authors

Fuzhen Zhang, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

9-15-2007

Publication Title

Journal of Mathematical Analysis and Applications

Keywords

Bohr inequality, Matrix absolute value, Matrix inequality, Modulus, Operator inequality, Operator absolute value, Polar decomposition, Positive operator

ISSN

0022-247X

Volume

333

Issue/No.

2

First Page

1264

Last Page

1271

Abstract

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.

Comments

Under an Elsevier user license

NSUWorks Citation

Zhang, Fuzhen, "On the Bohr Inequality of Operators" (2007). Mathematics Faculty Articles. 91.
https://nsuworks.nova.edu/math_facarticles/91

DOI

10.1016/j.jmaa.2006.12.024