论文标题
关于数值半径和克劳福德的数字达到限制的线性操作员
On numerical radius and Crawford number attainment sets of a bounded linear operator
论文作者
论文摘要
我们完全表征了Crawford数字达到集合和希尔伯特空间上有界线性操作员的数值半径范围。我们研究了数值半径，克劳福德数，标准，标准的最小范围的相应成就集的交点特性，该界限定义在范围空间上。我们的研究说明了有界线性操作员在希尔伯特空间和一般规范空间上的极端特性的相似性和差异。
We completely characterize the Crawford number attainment set and the numerical radius attainment set of a bounded linear operator on a Hilbert space. We study the intersection properties of the corresponding attainment sets of numerical radius, Crawford number, norm, minimum norm of a bounded linear operator defined on a normed space. Our study illustrates the similarities and the differences of the extremal properties of a bounded linear operator on a Hilbert space and a general normed space.
