| Hilbert空间中两个内积与范数关系的不等式 |
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| 引用本文： | 薛昌兴.Hilbert空间中两个内积与范数关系的不等式[J].甘肃联合大学学报(自然科学版),2005,19(3):1-2. |
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| 作者姓名： | 薛昌兴 |
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| 作者单位： | 甘肃联合大学,数学与信息学院,甘肃,兰州,730000 |
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| 基金项目： | 甘肃省教育厅自然科学基金项目(041305)，甘肃联合大学科研基金项目. |
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| 摘 要： | 用分析法得到了一般复Hilbert空间中两个内积与范数关系的不等式，由此不等式可推出几个可以看作是Cauchy-Schwarz不等式的反向不等式．
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| 关 键 词： | Hilbert空间 内积 范数Parseval等式 Cauchy--Schwarz不等式 |
| 文章编号： | 1672-691X(2005)03-0001-02 |
| 修稿时间： | 2005年3月21日 |
Two Inequalities about the Relation of the Interior Product and the Norm in the Hilbert Space |
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| XUE Chang-xing.Two Inequalities about the Relation of the Interior Product and the Norm in the Hilbert Space[J].Journal of Gansu Lianhe University :Natural Sciences,2005,19(3):1-2. |
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| Authors: | XUE Chang-xing |
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| Abstract: | By using the analysis method,the author gets two inequalities about the relation of the interior product and the norm in the general,complex Hilbert space.Furthermore,he deduces several inverse inequalities that can be looked upon as the Cauchy-Schwarz inequalities from the above inequalitity. |
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| Keywords: | Hilbert space interior product norm Parseval equality Cauchy-Schwarz inequality |
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