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Reverse inequalities for the numerical radius of linear operators in Hilbert spaces

Published online by Cambridge University Press:  17 April 2009

S. S. Dragomir
S. S. Dragomir
Affiliation:
School of Computer Science and Mathematics, Victoria University of Technology, PO Box 14428, Melbourne City, Vic. 8001, Australia e-mail: sever.dragomir@vu.edu.au
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Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 255 - 262
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Gustafson, K.E. and Rao, D.K.M., Numerical range (Springer-Verlag, New York, 1997).CrossRefGoogle Scholar
[2]Halmos, P.R., A Hilbert space problem book, (Second edition) (Springer-Verlag, New York, Heidelberg, Berlin, 1982).CrossRefGoogle Scholar