本文给出了U -标算子经连续算子演算后有界的充分条件。

The sufficient conditions are given for the continuous calculus of U-scalar operators to be bounded.

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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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在第二章中，作者以谱分解、函数演算等为工具，给出一些重要的算子不等式与范数不等式。

In this chapter, we give some operator inequalities and norm inequalities by means of spectral decomposition and functional calculus.

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