期刊文献+

正压缩算子Jordan积的最大最小谱点

Minimum and Maximum Spectrum Points of Jordan Products of Positive Contractions
原文传递
导出
摘要 主要讨论了正压缩算子Jordan积的谱,刻画了正压缩算子Jordan积的最大最小谱点以及正交投影Jordan积的谱. In this note, the spectrum of Jordan products of positive contractions are discussed. We shall establish characterizations of the minimum and maximum spectrum points of Jordan products of positive contractions. And a characterization of minimum spectral points of Jordan products of orthogonal projections is given.
出处 《数学学报(中文版)》 CSCD 北大核心 2016年第3期421-432,共12页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(11571211) 重庆科技学院博士教授基金(CK2010B09)
关键词 正算子 Jordan积 数值域 正交投影 positive operator Jordan product numerical range spectrum orthogonal projection
  • 相关文献

参考文献9

  • 1Du H. K., Deng C. Y., Common complements of two subspaces and an answer of Groβ's question, Acta Mathematica Sinica, Chinese Series, 2006, 49:1109 -1112. 被引量:1
  • 2Du H. K., Yao X. Y., Deng C. Y., Invertibility of linear combinations of two idempotents, Proe. Amer. Math. Soc., 2005, 134: 1451-1457. 被引量:1
  • 3Klaja H., The numerical range and the spectrum of a product of two orthogonal projections, Y. Math. Anal. Appl., 2014, 411: 177-195. 被引量:1
  • 4Li C. K., Tsai M. C., Wang K. Z., et al., The spectrum of the product of operators, and the product of their numerical ranges, Linear Algebra Appl., 2015, 469: 487-499. 被引量:1
  • 5Martins E. A., Silva F. C., On the invariant polynomials of Jordan products, Linear Algebra Appl., 2003, 360: 173-189. 被引量:1
  • 6Martins E. A., Silva F. C., On the eigenvalues of Jordan products, Linear Algebra Appl., 2003, 359: 249-262. 被引量:1
  • 7Ogasawara T., A theorem on operator algebras, J. Sci. Hiroshima Univ. Set. A, 1955, 18: 307-309. 被引量:1
  • 8Stampfli J. D., The norm of a derivation, Pacific J. Math., 1970, 33: 737-747. 被引量:1
  • 9Wang Y. Q., Du H. K., A characterization of maximum norms of commutators of positive contractions, J. Math. Anal. Appl., 2008, 348: 990-995. 被引量: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