良有界算子及其谱定理的新证明

Well-Bounded Operators and a New Proof of Spectral Theorem for Them

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．本文给出的方法使得可以获得两种良有界算子的谱定理，只要通过简单地改变所使用的拓扑．

Well-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact intervals.A method is given which enables one to obtain both spectral theorems by simply changing the topology used.