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Digraph代数上的2-局部导子

2-Local Derivations on Digraph Algebras
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摘要 本文证明了对称digraph代数上的每一个2-局部导子都是导子,并给出一个例子说明该结论在非对称digraph代数上不成立. In this paper, we prove that every .2-local derivation from any symmetric digraph algebra into itself is a derivation. Moreover, we give an example to show that the conclusion may not be true if it has not the condition of symmetry.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2006年第6期1411-1416,共6页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金(10571114) 陕西省自然科学基础研究计划资助项目(2004A17)
关键词 Digraph代数 2-局部导子 导子 Digraph algebra 2-local derivation derivation
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参考文献10

  • 1Semrl P., Local automorphisms and derivations on B(H), Proc. Amer. Math. Soc., 1997, 125: 2677-2680.
  • 2Crist R., Local derivations on operator algebras, J. Funct. Anal., 1996, 135:76-92.
  • 3Crist R., Local automorphisms, Proc. Amer. Math. Soc., 1999, 128: 1409-1414.
  • 4Davidson K., Power S., Isometric automorphisms and homology for non-self-adjoint operator algebras, Quart.J. Math. Oxford, Ser., 1991, 42: 271-192.
  • 5Gilfeather F., Moore R., Isomorphisms of certain CSL algebras, J. Funct. Anal., 1986, 66: 264-291.
  • 6Hadwin D., Li J. K., Local derivations and local automorphisms, J. Math, Anal. APPl., 2004,290: 702-714.
  • 7Molnar L., Local automorphisrns of operator algebras on Banach Spaces, Proc. Amer. Math. Soc., 2003, 131:1867-1874.
  • 8Xie J., Lu F., A note on 2-local automorphisms of digraph algebras, Linear Algebra and Appl., 2004, 378:93-98.
  • 9Kim S., Kim J., Local automorphisms and derivations on Mn, Proc. Amer. Math. Soc., 2003, 132: 1389-1392.
  • 10Davidson K. Nest algebras, Pitman Reseach Notes in Mathematics Series 191, Longman Scientific and Technical, 1988.

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