期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

H^2(S)上Toeplitz算子本质谱的局部分解 被引量：3

Local Decomposition of the Essential Spectra of Toeplitz Operators on H 2(S)
原文传递
导出
摘要 本文利用Ｂａｎａｃｈ代数中局部化原理给出了多复变Ｈａｒｄｙ空间上Ｔｏｅｐｌｉｔｚ算子是Ｆｒｅｄｈｏｌｍ算子的一个充分必要条件；同时给出了Ｔｏｅｐｌｉｔｚ算子本质谱的局部分解． In this paper, a sufficient and necessary condition for Toeplitz operators on Hardy space of unit sphere S of C n to be Fredholm operators is given by using the local method of Banach algebra. Meanwhile, we give the local decomposition of the essential spectra of Toeplitz operators on H 2(S).
作者 卢玉峰 孙善利 许凤
机构地区 吉林大学数学所 东北师范大学数学系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 1998年第4期865-870,共6页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金 国家教委博士点基金
关键词 TOEPLITZ算子 本质谱 局部分解 哈代空间 Toeplitz operator, Fredholm operator,Essential spectrum, Maximal ideal space, Fiber
分类号 O177.3 [理学—基础数学]
  • 相关文献

参考文献3

二级参考文献2

  • 1Cao G F
  • 2Yu D H

同被引文献15

  • 1Johnson H E,Aikens C M. Electronic structure and TDDFT optical absorption spectra of silver nanorods[J].Journal of Physical Chemistry A,2009,(16):4445-4450.
  • 2Jiu J T,Tokuno T,Nogi M,Suganuma K. Synthesis and application of Ag nanowires via a trace alt assisted hydrothermal process[J].Journal of Nanoparticle Research,2012,(07):975.
  • 3Sun Y G. Growth of silver nanowires on GaAs wafers[J].Nanoscale,2011,(05):2247-2255.
  • 4Zheng C,Ye X Y,Cai S G,Wang M J Xiao X Q. Observation of nonlinear saturable and reverse-saturable absorption in silver nanowires and their silica gel glass composite[J].Applied Physics B:Lasers and Optics,2010,(04):835-840.
  • 5Hecht D S,Hu L B,Irvin G. Emerging transparent electrodes based on thin films of carbon nanotubes,graphene,and metallic nanostructures[J].Advanced Materials,2011,(13):1482-1513.
  • 6Li X X,Wang L,Yan G Q. Recent research progress on preparation of silver nanowires by soft solution method and their applications[J].Crystal Research and Technology,2011,(05):427-438.
  • 7Sun Y G,Yin Y D,Mayers B T,Herricks T Xia Y N. Uniform silver nanowires synthesis by reducing AgNO3 with ethylene glycol in the presence of seeds and poly (vinyl pyrrolidone)[J].Chemistry of Materials,2002,(11):4736-4745.doi:10.1021/cm020587b.
  • 8Sun Y G,Mayers B T,Xia Y N. Template-engaged replacement reaction:a one-step approach to the large-scale synthesis of metal nanostructures with hollow interiors[J].Nano Letters,2002,(05):481-485.
  • 9Sun Y G,Gates B,Mayers B,Xia Y N. Crystalline silver nanowires by soft solution processing[J].Nano Letters,2002,(02):165-168.doi:10.1021/nl010093y.
  • 10Sun Y G,Mayers B,Herricks T,Xia Y N. Polyol synthesis of uniform silver nanowires:a plausible growth mechanism and the supporting evidence[J].Nano Letters,2003,(07):955-960.

引证文献3

二级引证文献10

数学学报（中文版）
1998年 第4期

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