some results on higher numerical ranges and radii of quaternion matrices
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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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Journal title:
journal of linear and topological algebra (jlta)جلد ۴، شماره ۰۴، صفحات ۲۸۳-۲۸۸
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