| 良有界算子及其谱定理的新证明 |
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| 引用本文： | 邱伯驺. 良有界算子及其谱定理的新证明[J]. 同济大学学报(自然科学版), 1994, 22(1): 89-94 |
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| 作者姓名： | 邱伯驺 |
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| 作者单位： | 同济大学应用数学系 |
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| 摘 要： | 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。
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| 关 键 词： | 良有界算子 谱族 谱定理 |
Well-Bounded Operators and a New Proof of Spectral Theorem for Them |
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| Qiu Bozhou. Well-Bounded Operators and a New Proof of Spectral Theorem for Them[J]. Journal of Tongji University(Natural Science), 1994, 22(1): 89-94 |
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| Authors: | Qiu Bozhou |
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| Abstract: | 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. |
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| Keywords: | Well-bounded operator Spectral family Decomposition of the identity Spectral theorem |
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