Weyl type theorems of 2 x 2 upper triangular operator matrices

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Bai, Qingmei¹  Huang, Junjie¹  Chen, Alatancang² 

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

[2] Hohhot Minzu Coll, Hohhot 010051, Peoples R China

关键词: Upper triangular operator matrix;    Weyl's theorem;    Browder's theorem;    A-Weyl's theorem;    A-Browder's theorem;   

DOI  :  10.1016/j.jmaa.2015.09.061

来源: Elsevier

【 摘 要 】

Let M-C = [GRAPHICS] be an upper triangular operator matrix on the Hilbert space H circle plus H, where H is a Hilbert space. In this paper, necessary and sufficient conditions for sigma(*)(M-C) = sigma(*)(A)boolean OR sigma(*)(B) are obtained, where sigma(*) is the essential spectrum, the Weyl spectrum, the Browder spectrum, the essential approximate point spectrum and the Browder essential approximate point spectrum. For M-C, we further investigate the relationship among Weyl type theorems such as Weyl's, a-Weyl's, Browder's and a-Browder's theorems. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free