شماره ركورد كنفرانس
4338
عنوان مقاله
C-Numerical range of quaternion matrices
پديدآورندگان
Haj Aboutalebi Narges Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran;
تعداد صفحه
4
كليدواژه
$c , $Numerical range , $C , $numerical range , quaternion matrices
سال انتشار
1395
عنوان كنفرانس
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
زبان مدرك
انگليسي
چكيده فارسي
Let $M_n(\mathbb{H})$ be the real algebra of all $n-$square quaternion matrices. Let $c\in\mathbb{H}^n$ and $C\in M_n(\mathbb{H})$. In this paper, the notion of $c-$numerical range and $C-$numerical range of quaternion matrices, as in the complex case, are introduced. Some algebraic and geometrical properties of them are investigated. In particular, more properties of the $C-$numerical range, where $C$ is a real matrix, are investigated.
كشور
ايران
لينک به اين مدرک