在本篇论文中，我们研究两类算子的数值域。

In this thesis, we study the numerical ranges of two kinds of operators.

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运用L2空间上的线性算子理论，我们证明了这类算子存在至多可数个正的本征值。

By using linear operator theory in L2 space, we proved that the operators of this kind has not more than denumerable positive eigenvalues.

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良有界算子是这样一类算子，它对于在某个紧区间上绝对连续的函数具有有界的函数演算。

Well-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact intervals.

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