Spatial Numerical Range in Non-unital, Normed Algebras II
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Keywords:
Banach Algebra, Numerical Range, Spatial Numerical RangeAbstract
Let $(A, \|\cdot\|)$ be a non-unital, normed algebra. In this paper, we study the geometry of the spatial numerical range $V_A(a)$ of an element $a$ of $A$. This is in the continuation of our paper \cite{DePa:21}. In \cite[Section 10]{BoDu:73}, all results on the (spatial) numerical range are proved for unital normed algebras. In this paper, we study these results for non-unital algebras.
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