希尔伯特格拉斯曼流形的Wigner定理的几何版本
泛函分析
2017-09-19 v3
摘要
我们证明了由线性或共轭线性等距映射诱导的格拉斯曼流形(复希尔伯特空间的)的变换可刻画为保持某些主角(对应于正交、邻接和正交邻接关系)的变换。
引用
@article{arxiv.1707.00327,
title = {Geometric version of Wigner's theorem for Hilbert Grassmannians},
author = {Mark Pankov},
journal= {arXiv preprint arXiv:1707.00327},
year = {2017}
}
备注
this new version contains only some minor corrections related to the Fundamental Theorem of Projective Geometry