Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 763102, 9 pages
doi:10.1155/2008/763102
Research Article

Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces

S. S. Dragomir

School of Computer Science and Mathematics, Victoria University, P.O. Box 14428, Melbourne VIC 8001, Australia

Received 27 May 2008; Accepted 4 August 2008

Academic Editor: Yeol Je Cho

Copyright © 2008 S. S. Dragomir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces are established.