Quaternionic Kittaneh Numerical Radius Inequalities

2026/07/03 by K. Mahesh Krishna
Mathematics · #math.FA #msc:47A12 #msc:11R52

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7 Pages, 0 Figures

arxiv created 2026/07/03 · arxiv updated 2026/08/04

Abstract

We show that for certain classes of matrices over quaternions, a more restrictive version of breakthrough numerical radius inequalities obtained by Kittaneh [\textitStud. Math., 2005] hold.

Citations

• The star-center of the quaternionic numerical range
• On the convexity and circularity of the numerical range of nilpotent quaternionic matrices
• Numerical radius inequalities for Hilbert Space Operators
• Quaternions and matrices of quaternions