| 余弦算子函数的滤子积及谱性质 |
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| 引用本文： | 张显文.余弦算子函数的滤子积及谱性质[J].信阳师范学院学报(自然科学版),1996,9(4):325-333. |
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| 作者姓名： | 张显文 |
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| 作者单位： | 信阳师范学院数学系 |
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| 摘 要： | 本文引入了余弦算子函数滤子积的概念。通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部工连续余弦算子函数的谱映象定理。
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| 关 键 词： | 余弦算子函数 滤子积 谱映象定理 巴拿赫空间 |
Filter Product and Spectral Properties of Cosine Operator Functions |
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| Zhang Xianwen.Filter Product and Spectral Properties of Cosine Operator Functions[J].Journal of Xinyang Teachers College(Natural Science Edition),1996,9(4):325-333. |
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| Authors: | Zhang Xianwen |
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| Abstract: | The concept of filter product of cosine operator functions is introduced in this paper. By discussing the filter product cosine operator function and the spectrum of it' s generator,the spectral mapping theorem for the locally equicontinuous cosine operator function is established. |
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| Keywords: | Cosine operator function Filter product Spectral mapping theorem |
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