Upper Semi-Weyl and Upper Semi-Browder Spectra of Unbounded Upper Triangular Operator Matrices. (25th November 2018)

• Record Type: Journal Article
• Authors: Bai, Wurichaihu; Bai, Qingmei; Chen, Alatancang
• Other Names: Latushkin Yuri Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-11-25
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/7871352
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we study the unbounded upper triangular operator matrix with diagonal domain. Some sufficient and necessary conditions are given under which upper semi-Weyl spectrum (resp. upper semi-Browder spectrum) of such operator matrix is equal to the union of the upper semi-Weyl spectra (resp. the upper semi-Browder spectra) of its diagonal entries. As an application, the corresponding spectral properties of Hamiltonian operator matrix are obtained.