INEQUALITIES FOR THE NORM AND THE NUMERICAL RADIUS OF LINEAR OPERATORS IN HILBERT SPACES

By Sever Silvestru Dragomir. 2007

65 citations recorded by the source corpus.

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-S´andor and the author.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/7f106e206592236741dcb060035f83599cf65138

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In Applied Mathematics

1. Sever Silvestru Dragomir
2. Mohammad Wajeeh Alomari
3. Mohammad Sal Moslehian
4. Y. Chu
5. Ali Zamani
6. M. Sarıkaya
7. M. Adil Khan
8. T. Yamazaki

In Computational Theory and Mathematics

1. Sever Silvestru Dragomir
2. Mohammad Sal Moslehian
3. Ali Zamani
4. Mohammad Wajeeh Alomari
5. T. Yamazaki

Citations in the corpus

• Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces (2006, methodology): “Note that this inequality has been obtained in [1] by the use of a different argument based on the Buzano’s inequality.”