期刊文献+

三角代数上初等映射的可加性 被引量:1

ADDITIVITY OF ELEMENTARY MAPS ON TRIANGULAR ALGEBRAS
下载PDF
导出
摘要 本文主要研究了三角代数上的初等映射的可加性.利用矩阵分块理论,证明了三角代数上的初等映射是可加的. In this note,the additivity of elementary maps on triangular algebras is described.By using the theory of partitioning,the additivity of elementary maps of triangular algebras is proved.
作者 王琳 董力强
出处 《数学杂志》 CSCD 北大核心 2011年第3期463-468,共6页 Journal of Mathematics
基金 国家自然科学基金资助(10771161)
关键词 三角代数 初等映射 可加性 triangular algebra elementary map additivity.
  • 相关文献

参考文献10

  • 1Cheung W S . Mappings on triangular algebras[D]. Victoria: University of Victoria, 2000.
  • 2Cheung W S. Commuting maps of triangular algebras[J]. J. London Math. Soc., 2001, 63(2): 117- 127.
  • 3Cheung W S. Lie derivations of triangular algebras[J]. Linear Multilinear Algebra, 2003, 51(3): 299-310.
  • 4Herstein I N. Jordan derivations of prime rings[J]. Proc. Amer. Math. Soc., 1957, 8: 1104-1110.
  • 5Ji Peisheng. Jordan maps on triangular algebras[J]. Linear Algebra Appl., 2007, 426(1): 190-198.
  • 6Zhang Jianhua, Yu Weiyan. Jordan derivations of triangular algebras[J]. Linear Algebra Appl., 2006, 419(1): 251- 255.
  • 7Molnar L, Semrl P. Elementary operators on standard operator algebras[J]. Linear Multilinear Al- gebra, 2002, 50(4): 315-319.
  • 8Li Pengtong, Lu Fangyan. Additivity of elementary maps on rings[J]. Commun. Algebra, 2004, 32: 3725-3737.
  • 9Li Pengtong. Elementary maps on nest algebras[J]. J. Math. Anal. Appl., 2006, 320(1): 174-191.
  • 10Martindale W S. When are multiplicative mappings additive?[J]. Proc. Amer. Math. Soc., 1969, 21: 695-698.

同被引文献11

  • 1Ulam S M. Problems in mordern mathematics[M]. New York: Wiley, 1964.
  • 2Hyers D H. On the stability of the linear functional equation[J]. Proc. Natl. Acad. Sci., 1941, 27: 222-224.
  • 3Rassias Th M. On the stability of the linear mapping in Banach spaces[J]. Proc. Amer. Math. Soc., 1978, 72:297 300.
  • 4G(vruta P. A generalization of the Hyers-Ulam-Rassias stability of approximately additive map- pings[J]. J. Math. Anal. Appl., 1994, 184: 431-436.
  • 5Kominek Z. On a local stability of the Jensen functional equation[J]. Demonstratio Math., 1989, 22: 499-507.
  • 6Miura T, Hirasawa G, Takahasi S-E. A perturbation of ring derivations on Banach algebras[J]. J. Math. Anal Appl., 2006, 319: 522-530.
  • 7Moslehian M S. Hyers-Ulam-Rassias stability of generalized derivations[J]. Internat J. Math. Sci., 2006, 93: 1-8.
  • 8Amyari M, Rahbarnia F, Sadeghi Gh. Some results on stability of extended derivations[J]. J. Math. Anal. Appl., 2007, 329: 753-758.
  • 9Baak C, Moslehian M S. On the stability of 0-derivations on JB*-triples[J]. Bull. Braz. Math. Soc., 2007, 38(1): 115-127.
  • 10Murphy J G. C*-algebras and operator theory[M]. San Diego: Academic Press, 1990.

引证文献1

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