Transition probability preserving maps on a Grassmann space in a semifinite factor

doi:10.1016/j.jmaa.2020.123957

CSpace

	Transition probability preserving maps on a Grassmann space in a semifinite factor
	Gu, Weichen 2; Wu, Wenming 3; Yuan, Wei 1,2
	2020-07-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	487 期号:1 页码:7
摘要	In this paper, the surjective transition probability preserving transformations on the Grassmann space of infinite projections in an infinite semifinite factor are characterized. As in the classical Wigner's theorem, all these maps are induced by -isomorphisms or -anti-isomorphisms of the semifinite factor. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Transition probability Wigner theorem Grassmann spaces Semifinite factors
DOI	10.1016/j.jmaa.2020.123957
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971463] ; National Natural Science Foundation of China[11871303] ; National Natural Science Foundation of China[11871127] ; Chongqing Science and Technology Commission[Scstc2019jcyj-msxmX0256]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000522798600008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50965
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, Wenming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
推荐引用方式 GB/T 7714	Gu, Weichen,Wu, Wenming,Yuan, Wei. Transition probability preserving maps on a Grassmann space in a semifinite factor[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,487(1):7.
APA	Gu, Weichen,Wu, Wenming,&Yuan, Wei.(2020).Transition probability preserving maps on a Grassmann space in a semifinite factor.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,487(1),7.
MLA	Gu, Weichen,et al."Transition probability preserving maps on a Grassmann space in a semifinite factor".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 487.1(2020):7.