| 有限维内积空间的一些性质 |
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| 引用本文： | 华德康. 有限维内积空间的一些性质[J]. 首都师范大学学报(自然科学版), 1988, 0(4) |
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| 作者姓名： | 华德康 |
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| 作者单位： | 北京师范学院数学系 |
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| 摘 要： | 本文首先证明了在有限维内积空间中一定存在正交基,然后给出了关于正交组可扩充成正交基、子空间W存在正交补W以及子空间W的最大正交子空间W~⊥与W相等的充要条件。
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| 关 键 词： | 内积空间 正交基 子空间的正交补 最大正交子空间 |
Several Properties of n-dimensional Inner Product Space |
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| Hua Dekang. Several Properties of n-dimensional Inner Product Space[J]. Journal of Capital Normal University(Natural Science Edition), 1988, 0(4) |
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| Authors: | Hua Dekang |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this Paper we first prove that there must be an orthographic base in n-dimensional inner product space. Then we obtain the necessary and sufficient condition that an orthographic set can be expanded irto an orthographic base, and that subspace-W has an orthocomplement-W, while the maximum orthographic subspaee W~(?) is equal to W. |
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| Keywords: | inner product space orthographic base orthocomplement-(?) maximum orthographic subspace-W~(?) |
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