期刊文献+

算子矩阵的左谱 被引量:1

Left spectra of operator partial matrices
下载PDF
导出
摘要 讨论了上三角算子矩阵S_C:=(AC OB):■左(右)谱的有限秩和紧扰动,还讨论了缺项算子矩阵M_X(AC XB):■在C是紧算子的条件下左(右)谱的扰动. The finite and compact perturbations of left (right) spectrum of 2 × 2 upper triangular operator matrix Sv are studied, where Sv :=(AC 0B)is an operator acting on the Hilbert space H+K. LetMx := (AC XB)be a 2 × 2 operator matrix acting on the Hilbert space H+K E. For given A, B and C, the perturbation of left (right) spectrum of operator matrix Mx is considered under the condition in which C is a compact operator.
作者 李愿
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第6期117-121,共5页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金(10571113) 陕西师范大学青年基金.
关键词 左谱 算子矩阵 spectrum left spectrum operator matrix
  • 相关文献

参考文献11

  • 1贾云锋.线性算子的正逼近[J].兰州大学学报(自然科学版),2006,42(1):95-97. 被引量:1
  • 2DJORDJEVIC D S. Perturbations of spectra of operator matrices[J]. J Operator Theory,2002,48: 467- 486. 被引量:1
  • 3Du H,PAN J. Perturbations of spectra of 2×2 operator matrices[J]. Proc Amer Math Soc,1994,121(6): 761-767. 被引量:1
  • 4LI Y,SUN X,Du H. The intersection of left (right) essential spectra of 2×2 upper triangular operator matrices[J]. Bulletin of the London Mathematical Society,2004,36: 811-819 被引量:1
  • 5LI Y,SUN X,Du H. The intersection of left(right) spectra of 2×2 upper triangular operator matrices[J]. Linear Algebra Appl,2006,418: 112-121. 被引量:1
  • 6李愿,孙秀红,杜鸿科.2×2上三角算子矩阵的左(右)Weyl谱的交[J].数学学报(中文版),2005,48(4):653-660. 被引量:7
  • 7崔建莲,侯晋川.一类缺项算子矩阵的谱补问题[J].数学学报(中文版),1999,42(1):181-186. 被引量:9
  • 8Du H,Gu C. On the spectra of operator completion problems[J]. Birkauser,1993,64: 103-117. 被引量:1
  • 9CUI J,Hou J. Qudric completion of operator partied matrices[J]. Journal of Mathematical Research and Exposition,2000,20(2): 317-326. 被引量:1
  • 10TAKAHASHI K. Invertible completions of operator matrices[J]. Integr Equat Oper Th,1995,21:355- 361 被引量:1

二级参考文献24

共引文献13

同被引文献3

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