期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

B(H)上的零点广义*-Lie可导映射 被引量：1

Generalized *-Lie derivable mappings at the zero point on B(H)
在线阅读 下载PDF
导出
摘要 设A是一个代数,如果a,b∈A且[a,a*,b]=0,都有[φ(a)φ(a)*,b]+[a,a*,φ(b)]-aφ(I)b+bφ(I)a=0,则称是A上的零点广义*-Lie可导映射.证明了B(H)上的零点广义*-Lie可导映射是广义内导子. Iet.A be a algebra. At the zero point on A if [φ（a）φ（a）＊,b]＋[a,a＊,φ（b）]-aφ（I）b＋bφ（I）a=0,for a,b∈A and [^aa＊,b]=0then Ф is a generalized ＊ -Lie devirable mapping. It is proved that generalized ＊ -Lie derivable mappings at the zero point on B（H） is a generalized inner derivation.
作者 张存侠
机构地区 陕西师范大学数学与信息科学学院 陕西教育学院数理工程系
出处 《纺织高校基础科学学报》 CAS 2009年第3期355-357,共3页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金资助项目(10571114)
关键词 B(H) 零点广义＊-Lie可导映射 广义内导子 B（H） generalized -Lie derivable mappings at the zero point generalized inner derivation
分类号 O177.13 [理学—基础数学]
  • 相关文献

参考文献10

  • 1JING W,LU S J,LI P T. Characterisations of derivations on some operator algebras[J]. Bull Austral Math Soc,2002,66: 227 -232.
  • 2CHEBOTSAR A M, KE F W, LEE H P. Maps charaterized by actiononzero products[ J ]. Pacific J Math,2004,216:217-228.
  • 3ZHU J, XIONG C P. Generalized derivable mappings at zero point on some reflexive operator algebras [ J ]. Linear Algebra Appl,2005 ,397 :367-379.
  • 4LI J K,PAN Z D, XU H. Characterizations of isomorphisms and derivations of some algebras [ J ]. J Math Anal Appl,2007, 332:1 314-1 322.
  • 5杜炜,张建华.套代数上的可乘导子[J].纺织高校基础科学学报,2007,20(2):153-155. 被引量：7
  • 6CHEUNG W S. Liederivations of triangular algebras[ J]. Linear Multilinear Algebra, 2003,51:299-310.
  • 7MATHIEU M,VILLENA A R. The structure of Lie derivations on C^* algebras[J]. J Funct Anal, 2003,202:504-525.
  • 8ZHANG J. Lie derivations on nest subalgebras of von Neumannalgebras [ J ]. Acta Math Sinica,2003 ,46 :657-664.
  • 9RALF B, MARTIN M M. Commutativity preserving mappings on semiprime rings [ J ]. Comm Algebra, 1997,25:247-265.
  • 10HOU J C, QI X F. Generalized Jordan derivation on nest algebras [ J ]. Linear Algebra Appl,2009,430:1 479-1 485.

二级参考文献5

  • 1DAIF M N. When is a multiplieative derivation additive? [J]. Internat J Math and Math Sci, 1991,14: 615- 618.
  • 2SMERL P. The functional equation of multiplicative derivation is superstable on standard operator algebras[J]. Inter Equat Operator Theory, 1994,18 :118-122.
  • 3DIVISION K R. Nest Algebras[M]. New York; Longman Scientific and Technical, 1988.
  • 4LU Fang-yah. Multiplieative rnapplings of operator algebras[J]. Linear Algebra Appl,2002,347:283-291.
  • 5HAN De-guang. Additive derivations of nest algebras[J]. Proc Amer Math Soc, 1993,119:1 165-1 169.

共引文献6

同被引文献17

  • 1AN Runling,HOU Jinchuan.Characterizations of derivations on tringular ring:Additive maps derivable at idempotents[J].Linear Algebra and its Applications,2009,431:1 070-1 080.
  • 2HOU Jinchuan,AN Runling.Additive maps behaving like derivations at idempotent-product element[J].Journal ofPure and Applie Algebra,2011,215:1 852-1 862.
  • 3ZHU Jun,XIONG Changping.Derivable mapping at unite operator on nest algebras[J].Linear Algebra and its Applica-tions,2007,422:721-735.
  • 4HOU Jinchuan,QI Xiaofei.Additive maps derivable at some points on J-subspace algebras[J].Linear Algebra and itsApplications,2008,429:1 851-1 863.
  • 5HOU Jinchuan,QI Xiaofei.Characterizations of derivations of Banach space nest algebras:full-derivable points[J].Linear Algebra and its Applications,2010,432:3 183-3 200.
  • 6LI Jiankui,PAN Zhidong.On derivable mappings[J].Journal of Mathematical Analysis and Applications,2011,374:311-322.
  • 7QI Xiaofei,CUI Jianlian,HOU Jinchuan.Characterizing additiveξ-Lie derivations of prim algebras byξ-Lie zero prod-ucts[J].Linear Algebra and its Applications,2011,434:669-682.
  • 8QI Xiaofei,HOU Jinchuan.Additive Lie(ξ-Lie)derivations and generalized Lie(ξ-Lie)derivations on nest algebras[J].Linear Algebra and its Applications,2009,431:843-854.
  • 9ZHANG Jianhua.Jordan derivations of nest algebras[J].Acta Mathematics Sinica,1998,41:205-212.
  • 10张存侠.套代数上的单位广义可导映射[J].纺织高校基础科学学报,2008,21(3):317-319. 被引量：2

引证文献1

二级引证文献1

纺织高校基础科学学报
2009年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部