2~*2上三角算子矩阵的谱的填洞问题The Filling Holes Problems of Operator Spectra of 2~*2 Upper Triangular Operator Matrices
陈晓玲;钟怀杰;
摘要(Abstract)：
设Mc=A C0 B∈B(X Y)为定义在Banach空间X Y上的上三角算子矩阵.讨论了Mc的左(右)谱σl(σr),左(右)本性谱σle(σre)和本性谱σe的填洞问题.
关键词(KeyWords)： Banach空间;算子矩阵;左谱;右谱;本性谱;左本性谱;右本性谱
基金项目(Foundation): 国家自然科学基金资助项目(10471025);; 福建省自然科学基金资助项目(2006J0203)
作者(Authors): 陈晓玲;钟怀杰;
参考文献(References)：
- [1]康威J B.单复变函数[M].吕以辇,张南岳,译.上海:上海科学技术出版社,1985.
- [2]Han J K,Lee H Y,Lee W Y.Invertible completions of 2*2 upper triangular operator matrices[J].PAMS,1999,128:119-123.
- [3]Hwang I S,Lee W Y.The boundedness below of 2*2 upper triangular operator matrices[J].Integr Equ OperTheory,2001,39:267-276.
- [4]Cao X H,Guo M Z,Meng B.Semi-fredholm spectrum and Weyl's theory for operator matrices[J].ActaMathematica Sinica,2006,22:169-178.
- [5]Barraa M,Boumazgour M.On the perturbations of spectra of upper triangular operator matrices[EB/OL].(2003).http://www.ictp.trieste.itput-off.
- [6]钟怀杰.巴拿赫空间结构和算子理想[M].北京:科学出版社,2005.
- [7]Lee W Y.Weyl spectra of operator matrices[J].PAMS,2000,129:131-138.
- [8]Cao X H,Guo M Z,Meng B.Weyl's theorem for upper triangular operator matrices[J].Linear Algebra and ItsApplications,2005,402:61-73.