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

doi:10.1016/j.jmaa.2020.123957

	Transition probability preserving maps on a Grassmann space in a semifinite factor
	Gu, Weichen 3; Wu, Wenming 1; Yuan, Wei 2,3
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2020-07-01
卷号	487 期号:1 页码:7
关键词	Transition probability Wigner theorem Grassmann spaces Semifinite factors
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2020.123957
英文摘要	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.
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
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000522798600008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50964]
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.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.