期刊论文

A Class of Mbius Transformations in Infinite Dimension

中文

江西师范大学学报(自然科学版)

1000-5862

2009

33

5

556-559

10.16357/j.cnki.issn1000-5862.2009.05.003

基金项目：国家自然科学基金（10771059）和衡阳师范学院启动基金（08806）资助项目.

本校为第一机构

利用无穷维Mbius变换的Clifford矩阵表示,证明了无穷维Mbius变换关于通弦度量等距的5个等价条件,并给出了这个结果的应用,同时推广了有关文献的结论.

By using the expression of Mbius transformations in infinite dimension through Clifford matrices in this paper,five equivalent statements that a Mbius transformation in infinite dimension is an isometry with respect to the chordal metric are proved.A simple application is given,which is a genera...