Article
On the Bohr Inequality of Operators
Journal of Mathematical Analysis and Applications
Document Type
Article
Publication Date
9-15-2007
Keywords
- Bohr inequality,
- Matrix absolute value,
- Matrix inequality,
- Modulus,
- Operator inequality,
- Operator absolute value,
- Polar decomposition,
- Positive operator
Disciplines
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.
DOI
10.1016/j.jmaa.2006.12.024
Citation Information
Fuzhen Zhang. "On the Bohr Inequality of Operators" Journal of Mathematical Analysis and Applications Vol. 333 Iss. 2 (2007) p. 1264 - 1271 ISSN: 0022-247X Available at: http://works.bepress.com/fuzhen-zhang/106/
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