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On the Bohr inequality of operators |
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| Authors: | Fuzhen Zhang |
| Affiliation: | a Farquhar College of Arts and Sciences, Nova Southeastern University, 3301 College Ave, Fort Lauderdale, FL 33314, USA b School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning 110034, China |
| 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. |
| Keywords: | Bohr inequality Matrix absolute value Matrix inequality Modulus Operator inequality Operator absolute value Polar decomposition Positive operator |
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