【摘要】 线性算子的凸性对其数值域而言是个极其重要的性质.二次数值域提供了估算算子特征值的方法，更精确地刻画了谱的分布状态.本文得到了单位圆盘上Hardy-Toeplitz算子、Bergman-Toeplitz算子以及对偶截断Toeplitz算子的数值域的结果，并用二次数值域的方法将这些算子的数值域与算子的符号联系了起来.更多还原

【Abstract】 Convexity is a very important property for the numerical domain of linear operators. The binary number field provides a method to estimate the eigenvalues of the operator and to characterize the distribution state of the spectrum more precisely. In this paper, we obtain results on the numerical domains of Hardy-Toeplitz, Bergman-Toeplitz, and pairwise truncated Toeplitz operators on the unit disk, and we relate the numerical domains of these operators to the symbols of the operators, where the method of the dual number field is used.更多还原