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关于中心化子的一类映射 被引量：5

A class map about centralizers
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摘要 X表示实数域或复数域F上的Banach空间,设M是X上的一个标准算子代数,I是M的单位元.证明了若可加映射φ:M→B(X)满足A∈M,非零实数m和n,有(m+n)φ(A2)-mAφ(A)-nφ(A)A∈FI.则ヨλ∈F,使得φ(A)=λA. Let X be a Banach space over the real or complex field F, let Nb be a standard operator algebra on X with unit I. The form of each additive map ФNb→B（X）is proved that if there exist nonzero real m and n such that （m＋n）Ф（A^2）-mAФ（A）-nФ（A）A∈FI.holds for allA∈Nb,then Ф（A）＋λA,where λ∈F.
作者 崔云丽 张建华
机构地区 陕西师范大学数学与信息科学学院
出处 《纺织高校基础科学学报》 CAS 2009年第1期25-28,共4页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金资助项目(10571114) 陕西省自然科学研究计划资助项目(2004A17)
关键词 可加映射 中心化子 算子代数 additive map centralizers operator algebra
分类号 O177.1 [理学—基础数学]
  • 相关文献

参考文献5

  • 1BEIDAR K I, MARTINDALL III W S, MIKHALEV A V. Rings with generalized identities [ M ]. New York: Marcel Dekker Inc, 1996.
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二级参考文献9

  • 1Beidar K. I., Martindal III W. S., Mikhalev A. V., Rings with generalized identities, New York: Marcel Dekker Inc., 1996.
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共引文献12

同被引文献41

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引证文献5

二级引证文献7

纺织高校基础科学学报
2009年 第1期

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