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.
| Original language | English |
|---|---|
| Pages (from-to) | 2891-2900 |
| Number of pages | 10 |
| Journal | Filomat |
| Volume | 31 |
| Issue number | 9 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Funding Information:The first author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT and future Planning(2015027497). This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2009-0093827). This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology(2012R1A1A3006841).
Publisher Copyright:
© 2017, University of Nis. All rights reserved.
Keywords
- Complex symmetric operator matrices
- Weyl type theorems