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.
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.
作者
邢美丽
XING Mei-li(School of Mathematical Sciences, Ocean University of China, Qingdao 266071, China)
出处
《云南民族大学学报（自然科学版）》
CAS
2019年第3期268-272,277,共6页
Journal of Yunnan Minzu University:Natural Sciences Edition
基金
国家自然科学基金(1171315)
关键词
归纳极限
张量积
连续性
inductive limits
tensor product
continuity
