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Another generalization of the numerical radius for Hilbert space operators
, 2021Let B ( H ) be the C ⁎ -algebra of all bounded linear operators on a Hilbert space H . Let N ( ⋅ ) be an arbitrary norm on B ( H ) and I stand for the identity operator.
A. Zamani, P. Wójcik
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Polarization Constant for the Numerical Radius
Mediterranean Journal of Mathematics, 2020Given a symmetric \(m\)-linear mapping \(A:X\times\dots\times X \to Y\) (\(X,Y\) are Banach spaces) and its associated \(m\)-homogeneous polynomial \(\widehat A: X\to Y\), the following polarization inequalities hold: \[\|\hat{A}\| \le \|A\| \le \frac{m^m}{m!} \|\hat{A}\|.\] For specific Banach spaces, the second inequality holds with constants \(C ...
Javier Falcó +4 more
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Some estimates for the generalized numerical radius
The Journal of Analysis, 2023M. Bakherad +3 more
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Refinements of some numerical radius inequalities for operators
Rendiconti del Circolo Matematico di Palermo Series 2, 2023Soumia Aici +2 more
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Refinement of numerical radius inequalities of complex Hilbert space operators
Acta Scientarum Mathematicarum, 2023Pintu Bhunia, K. Paul
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Numerical radius and spectral radius inequalities with an estimation for roots of a polynomial
Indian journal of pure and applied mathematics, 2023Pintu Bhunia
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Lectures on Numerical Radius Inequalities
Infosys Science Foundation Series, 2022Pintu Bhunia +3 more
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(ε, A)-approximate numerical radius orthogonality and numerical radius derivative
, 2023Jeet Sen, K. Paul
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Inequalities for Numerical Radius and Spectral Radius
Journal of Advanced Mathematics and Applications, 2016M. Al-Hawari, Sa'ed M. Barahmeh
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