首页 | 本学科首页   官方微博 | 高级检索  
     


A note on Weyl's theorem for operator matrices
Authors:Slavisa V. Djordjevic   Young Min Han
Affiliation:University of Nis, Faculty of Science, P.O. Box 91, 18000 Nis, Yugoslavia ; Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, Iowa 52242-1419
Abstract:
When $Ainmathcal B(X)$ and $Binmathcal B(Y)$ are given we denote by $M_C$ an operator acting on the Banach space $Xoplus Y$of the form

begin{displaymath}M_{C}=left (begin{matrix}A&C 0&Bend{matrix}right), text{where} Cin mathcal B(Y,X). end{displaymath}

In this note we examine the relation of Weyl's theorem for $Aoplus B$ and $M_C$ through local spectral theory.

Keywords:Upper triangular operator matrix   Weyl's theorem   single valued extension property
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号