| 谱型交换算子组的若干结果 |
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| 引用本文： | 曹向东. 谱型交换算子组的若干结果[J]. 吉林大学学报(理学版), 1993, 0(1) |
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| 作者姓名： | 曹向东 |
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| 作者单位： | 吉林大学数学研究所 长春 |
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| 摘 要： | 本文讨论Banach空间上谱型交换算子组的对偶定理、函数演算、限制和商.特别证明了在Hibert空间或L′空间(p≥1)上,交换算子组是谱型当且仅当交换算子组中每个算子是谱型的.
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| 关 键 词： | 谱型算子 谱型交换算子组 对偶定理 函数演算 |
On Some Results of Sepectral n-tuple of Commuting Operators |
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| Cao Xiangdong. On Some Results of Sepectral n-tuple of Commuting Operators[J]. Journal of Jilin University: Sci Ed, 1993, 0(1) |
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| Authors: | Cao Xiangdong |
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| Abstract: | The present paper deals with dual theorem, functinal calculus, restriction and quotient operators; In particular, for Hilbert spaces, or L-spaces, it is proved that a n-tuple of commuting operators is spectral iff the operators in the n-tuple of commuting operators are spectral operators. |
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| Keywords: | spectral operator spectral n-tuple of commuting operators dual theorem functional cal-culus |
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