局部序列自同构

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英文篇名：Local Sequentlal Automorphisms 作者：张海燕 英文作者：ZHANG Hai-yan;School of Mathematics and Statistics,Chifeng College; 关键词：2-局部序列自同构 ; 序列自同构 ; 效应代数 英文关键词：two-local sequential automorphism;;sequential automorphism;;effect algebra 中文刊名：HYSK 英文刊名：Journal of Huaiyin Teachers College(Natural Science Edition) 机构：赤峰学院数学与统计学院; 出版日期：2015-03-15 出版单位：淮阴师范学院学报(自然科学版) 年：2015 期：v.14;No.57 语种：中文; 页：HYSK201501007 页数：3 CN：01 ISSN：32-1657/N 分类号：25-27

摘要

证明了维数大于等于3的可分Hilbert空间H上的所有有界线性算子全体B(H)的效应代数E(H)上满的2-局部序列自同构是序列自同构以及Hilbert空间H上的投影算子全体P(H)上满的2-局部序列自同构是序列自同构.
        In this paper,It was proved that every surjective two-local sequential automorphism on effect algebras E( H) of B( H) which denoted all the bounded linear operators on separable Hilbert space H is sequential automorphism,If dim H is equal or more three. and prove that each surjective two-local sequential automorphism on P( H) which denoted all the projections on separable Hilbert space H is sequential automorphism.

引文

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    [3]Stan Gudder,Richard Greechie.Uniqueness and order in sequential effect algebras[J].International Journal of the oretical physics,2005,44(7):755-770.
    [4]张海燕.2-局部序列自同构[J].赤峰学院学报,2011,27(6),20-21.