some results on higher numerical ranges and radii of quaternion matrices

نویسندگان

g 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

چکیده

‎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

‎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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عنوان ژورنال:
journal of linear and topological algebra (jlta)

جلد ۴، شماره ۰۴، صفحات ۲۸۳-۲۸۸

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