Some results on the joint higher numerical ranges and radii of matrices
نویسندگان
چکیده
منابع مشابه
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.
متن کاملsome 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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In this paper, the notion of rank−k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for > 0, the notion of Birkhoff-James approximate orthogonality sets for −higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed definitions yield a natural general...
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In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matriceswe show that $V^k(A)=sigma(A)$.
متن کاملMultiplicative maps preserving the higher rank numerical ranges and radii
Let Mn be the semigroup of n× n complex matrices under the usual multiplication, and let S be different subgroups or semigroups in Mn including the (special) unitary group, (special) general linear group, the semigroups of matrices with bounded ranks. Suppose Λk(A) is the rank-k numerical range and rk(A) is the rank-k numerical radius of A ∈ Mn. Multiplicative maps φ : S → Mn satisfying rk(φ(A)...
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2017
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2017.1728