Some inequalities for the norm and the numerical radius of linear operators in Hilbert spaces
By Sever Silvestru Dragomir. 2008
76 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/e9ed48f79863b411f339bc0941040ec82a261a17
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In Applied Mathematics
- Pintu Bhunia
- Kallol Paul
- Santanu Bag
- Mohammad Sal Moslehian
- M. Sattari
- T. Yamazaki
- Janusz Brzdek
- Kais Feki
In Computational Theory and Mathematics
- Pintu Bhunia
- Kallol Paul
- Santanu Bag
- Mohammad Sal Moslehian
- M. Sattari
- T. Yamazaki
- Kais Feki
- Ali Zamani
Citations in the corpus
- Some generalized numerical radius inequalities for Hilbert space operators (2014, methodology): “We use some strategies used in [3] to prove it.”
- Numerical radius inequalities and its applications in estimation of zeros of polynomials (2019, result): “…obtained in Theorem 2.1 improves on the bound obtained by Abu-Omar and Kittaneh [1], namely, Abu-Omar and Kittaneh [1] also proved that this bound is better than the bounds obtained in [13, 12] Dragomir [7] proved that w 2 ( T ) which is weaker than the bound obtained by Abu-Omar and Kittaneh [1].”