Korean J. Math. Vol. 27 No. 1 (2019) pp.165-173
DOI: https://doi.org/10.11568/kjm.2019.27.1.165

A note on some inequalities for the $b$-numerical radius and $b$-norm in 2-Hilbert space operators

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Published: Mar 30, 2019
Keywords:
numerical radius, usual operator norm, b-numerical radius,
Mathematics Subject Classification:
47A12, 47A30, 47A63.

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Akram Babri Bajmaeh
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Mohsen Erfanian Omidvar
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract

In this paper, the definition $b$-numerical radius and $b$-norm is introduced and we present several $b$-numerical radius inequalities. Some applications of these inequalities are considered as well.


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References

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