شماره ركورد كنفرانس
4338
عنوان مقاله
On maximal C$^*$-algebra numerical ranges
پديدآورندگان
Heydari Mohammad Taghi heydari@yu.ac.ir Department of Mathematics, Faculty of Sciences, University of Yasuj, Yasuj, Iran; , khadem Amene Department of Mathematics, Faculty of Sciences, University of Yasuj, Yasuj, Iran; , Ranjbar Sajad sranjbar@eghlid.ac.ir Department of Mathematics, College of Sciences,Higher Education Center of Eghlid, Eghlid, Iran; ;
تعداد صفحه
3
كليدواژه
C$^{*}$ , algebra Numerical range , Maximal C$^{*}$ , algebra Numerical range , Maximal Numerical range
سال انتشار
1395
عنوان كنفرانس
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
زبان مدرك
انگليسي
چكيده فارسي
Let $\mathcal{A}$ be a C$^{*}$-algebra with unit $1 $ and let $\sum$ be the state space of $\mathcal{A}$, i.e. $\sum=\{f \in \mathcal{A}^{*} : f\geq 0, f(1)=1\}.$ For each $a\in \mathcal{A}$, we define the maximal $C^{*}$-algebra numerical rang of $a$ by $V_{0}(a) := \{f(a) :f \in \sum f(a^{*}a)=\|a\|^{2}\}$ and study some of its properties.
كشور
ايران
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