Some results on higher numerical ranges and radii of quaternion matrices

Authors

  • Gh. Aghamollaei Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
  • N. Haj Aboutalebi Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Abstract:

‎Let $n$ and $k$ be two positive integers‎, ‎$kleq n$ and $A$ be an $n$-square quaternion matrix‎. ‎In this paper‎, ‎some results on the $k-$numerical range of $A$ are investigated‎. ‎Moreover‎, ‎the notions of $k$-numerical radius‎, ‎right $k$-spectral radius and $k$-norm of $A$ are introduced‎, ‎and some of their algebraic properties are studied‎.

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some results on higher numerical ranges and radii of quaternion matrices

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Journal title

volume 04  issue 04

pages  283- 288

publication date 2015-12-01

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