Abstract
New inequalities for the numerical radius of bounded linear operators defined on a complex Hilbert space \({\mathcal {H}}\) are given. In particular, it is established that if T is a bounded linear operator on a Hilbert space \({\mathcal {H}}\) then
where w(T) is the numerical radius of T. The inequalities obtained here are non-trivial improvement of the well-known numerical radius inequalities. As an application we estimate bounds for the zeros of a complex monic polynomial.
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First author would like to thank UGC, Govt. of India for the financial support in the form of SRF. Prof. Kallol Paul would like to thank RUSA 2.0, Jadavpur University for the partial support.
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Bhunia, P., Paul, K. Proper Improvement of Well-Known Numerical Radius Inequalities and Their Applications. Results Math 76, 177 (2021). https://doi.org/10.1007/s00025-021-01478-3
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DOI: https://doi.org/10.1007/s00025-021-01478-3