Weyl type theorems for complex symmetric operator matrices

Abstract

In this paper, we study Weyl type theorems for complex symmetric operator matrices. In particular, we give a necessary and sufficient condition for complex symmetric operator matrices to satisfy a-Weyl’s theorem. Moreover, we also provide the conditions for such operator matrices to satisfy generalized a-Weyl’s theorem and generalized a-Browder’s theorem, respectively. As some applications, we give various examples of such operator matrices which satisfy Weyl type theorems. © 2017, University of Nis. All rights reserved.