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. © 2006 Elsevier Inc. All rights reserved.
| Original language | American English |
|---|---|
| Pages (from-to) | 1264-1271 |
| Number of pages | 8 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 333 |
| Issue number | 2 |
| State | Published - Sep 15 2007 |
Funding
✩ The work was supported in part by the NSU-FAR Faculty Development Funds. E-mail address: [email protected].
| Funders |
|---|
| NSU-FAR |
ASJC Scopus Subject Areas
- Analysis
- Applied Mathematics
Keywords
- Bohr inequality
- Matrix absolute value
- Matrix inequality
- Modulus
- Operator absolute value
- Operator inequality
- Polar decomposition
- Positive operator
Disciplines
- Mathematics
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