完全保持Jordan零积的映射

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英文篇名：Maps Completely Preserving Jordan Zero Product 作者：张瑜 ; 黄丽 ; 赵红利 英文作者：ZHANG Yu;HUANG Li;ZHAO Hong-Li;School of Applied Science,Taiyuan University of Science and Technology; 关键词：因子von ; Neumann代数 ; 完全保持 ; Jordan零积 英文关键词：factor von Neumann algebras;;completely preserver problem;;Jordan zero product 中文刊名：TYZX 英文刊名：Journal of Taiyuan University of Science and Technology 机构：太原科技大学应用科学学院; 出版日期：2019-01-15 出版单位：太原科技大学学报 年：2019 期：v.40;No.171 基金：国家自然科学基金青年基金项目(11501401) 语种：中文; 页：TYZX201901015 页数：4 CN：01 ISSN：14-1330/N 分类号：80-83

摘要

令H,K是￡上无限维Hilbert空间,A,B分别是H和K上的因子von Neumann代数。结果显示:每一个从A到B完全保Jordan零积的满射都是线性同构或共轭线性同构的非零常数倍。
        Let H,K be infinite dimensional complex Hilbert spaces and A,B be factor von Neumann algebras on H and K,respectively. It is shown that every surjective map completely preserving Jordan zero product from A to B is a nonzero scalar multiple of either a linear isomorphism or a conjugate linear isomorphism.

引文

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