Surjective L^(2)-isometries on the Projection Lattice

作     者：Li Guang WANG Wen Ming WU Wei YUAN Li Guang WANG;Wen Ming WU;Wei YUAN

作者机构：School of Mathematical SciencesQufu Normal UniversityQufu 273165P.R.China School of Mathematical SciencesChongqing Normal UniversityChongqing 401331P.R.China Institute of MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190P.R.China School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049P.R.China 

基　　金：supported in part by NFS of China(Grant Nos.11871303,11971463,11671133) supported in part by NFS of China(Grant Nos.11871127,11971463) supported in part by NFS of China(Grant Nos.11871303,11871127,11971463) NSF of Shandong Province(Grant No.ZR2019MA039) Chongqing Science and Technology Commission(Grant No.cstc2019jcyj-msxm X0256) 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2021年第37卷第5期

页      码：825-834页

摘      要：Recently,Gehér and Semrl have characterized the general form of surjective isometries of the set of all projections on an infinite-dimensional separable Hilbert space using unitaries and *** this paper,we study the surjective L^(2)-isometries of the projection lattice of an infinite dimensional Hilbert space and show that every such isometry can also be described by unitaries and antiunitaries.

主 题 词：Wigner's theorem L^(2)-isometries projections tracial weight 

学科分类：07[理学] 070104[070104] 0701[理学-数学类] 

核心收录：

D　O　I：10.1007/s10114-021-0306-9

馆 藏 号：203102862...