Intersections of the left and right essential spectra of 2 x 2 upper triangular operator matrices

被引：6
|
作者：
Li, Y [1 ]
Sun, XH [1 ]
Du, HK [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2004年 / 36卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1112/S0024609304003492
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, perturbations of the left and right essential spectra of 2 x 2 upper triangular operator matrix MC are studied, where M-C - ((A)(0) (C)(B)) is an operator acting on the Hilbert space Hcircle plusK. For given operators A and B, the sets boolean AND(Cis an element ofB(K,H)) sigma(le)(M-C) and boolean AND(Cis an element ofB(K,H)) sigma(le)(M-C) are determined, where sigma(le)(T) and sigma(re)(T) denote, respectively, the left essential spectrum and the right essential spectrum of an operator T.
引用
收藏
页码：811 / 819
页数：9
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