In Section 3, we study Mobius groups acting on infinite-dimensional inner product spaces.
bius群推广到了无限维的内积空间。
参考来源 - 有限维及无限维M（？）bius群In an inner product space one always defined the norm of a vector as .
量子体系的态矢量空间是复的内积空间，即定义了内积的复线性空间。
参考来源 - 量子物理中的非对易分析与超算符·2,447,543篇论文数据，部分数据来源于NoteExpress
The inner product between two state vectors is a complex number known as a probability amplitude.
两个状态矢量间的内积是一已知的概率振幅复杂数字。
In the inner product space, the existence theory of best approximation element was obtained and described.
获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
Two-and threed imensional euclidean spaces are metric spaces as are inner product spaces vector spaces and certain topological spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
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