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Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces

By Sever S Dragomir


In this paper various inequalities between the operator norm and\ud its numerical radius are provided. For this purpose, we employ some classical\ud inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff-\ud Clarke, Dragomir-Sándor and the author

Topics: 0101 Pure Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), numerical range, numerical radius, bounded linear operators, Hilbert spaces
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2005
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