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Numerical radius inequalities for finite sums of operators

Mirmostafaee A. K., Rahpeyma O. P., Omidvar M. E.

Demonstratio Mathematica

2014

Vol. 47, nr 4

963--970

In this paper, we obtain some sharp inequalities for numerical radius of finite sums of operators. Moreover, we give some applications of our result in estimation of spectral radius. We also compare our results with some known results.

Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces

Dragomir S.

Demonstratio Mathematica

2007

Vol. 40, nr 2

411-417

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