| Hilbert空间的张量积的连续性 |
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| 引用本文： | 邢美丽. Hilbert空间的张量积的连续性[J]. 云南民族大学学报(自然科学版), 2019, 0(3) |
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| 作者姓名： | 邢美丽 |
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| 作者单位： | 中国海洋大学数学科学学院 |
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| 摘 要： | 给出了内积空间的正向系和归纳极限的概念,证明了在酉等价的意义下,内积空间的归纳极限是唯一的.构造了具体的内积空间的归纳极限.证明了Hilbert空间的张量积关于归纳极限是连续的
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| 关 键 词： | 归纳极限 张量积 连续性 |
Continuity of tensor products of the Hilbert space |
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| Affiliation: | ,School of Mathematical Sciences, Ocean University of China |
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| Abstract: | This paper introduces the concepts of direct systems and inductive limits of inner product spaces. It is proved that the inductive limit of the inner product spaces is unique in the sense of unitary equivalence. What's more, the inductive limit of the specific inner product space is constructed. Finally, it is proved that the tensor product of the Hilbert space is continuous with respect to the inductive limit. |
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| Keywords: | inductive limits tensor product continuity |
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