期刊文献+

标准算子代数上完全保对合性的可加映射 被引量:3

Additive Maps Completely Preserving Involution Between Standard Operator Algebras
原文传递
导出
摘要 刻画了无限维实或复Banach空间上的标准算子代数间完全保对合性的可加映射,证明了这样的映射是同构的常数倍或(复情形下)共轭同构的常数倍. Additive maps between standard operator algebras on real or complex infinite dimensional Banach spaces completely preserving involution are characterized,and it shows that such maps are isomorphisms multiplied by a constant or(in the complex case) conjugateisomorphisms multiplied by a constant.
作者 黄丽 刘敏
出处 《数学的实践与认识》 CSCD 北大核心 2012年第10期156-162,共7页 Mathematics in Practice and Theory
基金 太原科技大学博士科研启动基金(20082024)
关键词 标准算子代数 完全保持问题 对合性 可加映射 同构 standard operator algebra complete preserver problems involution additive maps isomorphisms
  • 相关文献

参考文献6

二级参考文献10

共引文献15

同被引文献19

  • 1张显,曹重光.交换整环上的上三角矩阵保对合的线性算子[J].数学杂志,1995,15(3):297-300. 被引量:5
  • 2Ge Yanling , Cao Chongguang .Idempotence-Preservers Linear Operators on 2:2 Upper Triangular Matrix Spaces over any Field[J]. Proceeding of The Seventh Workshop on Matrix and Operators, 2012, 32-34. 被引量:1
  • 3Cao Chongguang , Zhang Xian .Multiplicative semigroup automorphisms of upper triangular matrices over rings [ J ].Linear Algebra Appl, 1998,278 : 85-90. 被引量:1
  • 4Li Yang, Ling Zhang.Maps on/: (H) preserving involution [ J ].Linear Algebra Appl. 2009,431 : 666-672. 被引量:1
  • 5张显,张淑慧.保持对合矩阵的线性映射[J].黑龙江大学自然科学学报,1997,14(2):1-2. 被引量:1
  • 6徐刚,于泳波.对合矩阵探讨[J].高师理科学刊,2008,28(1):37-38. 被引量:8
  • 7HOU J, HUANG L. Maps completely preserving idempotents and maps completely preserving square-zero operators [ J ]. Israel Journal of Mathematics ,2010,176( 1 ) :363-380. 被引量:1
  • 8HOU J, HUANG L Characterizing isomorphisms in terms of completely preserving invertibility or spectrum [ J ]. Journal of Mathematical Analysis and Applications,2009,359 (1) :81-87. 被引量:1
  • 9HUANG L, LIU Y. Maps completely preserving commutativity and maps completely preserving Jordan zero-product [ J ]. Linear Algebra and Its Applications ,2014,462(12) :233-249. 被引量:1
  • 10DOBOVIEK M, KUZMA B, LENJAK G, et al. Mappings that preserve pairs of operators with zero triple Jordan product [ J ]. Linear Algebra Applications,2007,426:255-279. . 被引量:1

引证文献3

二级引证文献3

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