| U—标算子与标型算子 |
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| 引用本文： | 孙万贵 荔炜. U—标算子与标型算子[J]. 西北大学学报(自然科学版), 1999, 29(5): 375-376,380 |
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| 作者姓名： | 孙万贵 荔炜 |
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| 作者单位： | 西北大学数学系!陕西西安710069 |
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| 基金项目： | 陕西省教委专项科研基金 |
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| 摘 要： | 证明了Ｈｉｌｂｅｒｔ空间中的Ｕ－标算子在某个范数拓扑意义下是标型算子和Ｈｅｒｍｉｔｉａｎ算子，并给出了Ｕ－标算子是标型谱算子的充要条件。
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| 关 键 词： | U－标算子 标型算子 希尔伯特空间 Hermite算子 |
U-scalar operators and scalar type operators |
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| SUN Wan gui,LI Wei,XUE Xi feng. U-scalar operators and scalar type operators[J]. Journal of Northwest University(Natural Science Edition), 1999, 29(5): 375-376,380 |
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| Authors: | SUN Wan gui LI Wei XUE Xi feng |
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| Abstract: | It is proved that a U scalar operator in a Hilbert space is both a scalar type operator and a Hermitian operator in the sense of a stronger topology.The necessary and sufficient conditions of a spectral operator of scalar type which is a U scalar operator are given. |
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| Keywords: | U-scalar operator scalar type operator Hermitian operator spectral operator of scalar type |
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