Abstract
In this paper, we study conjugation matrices and complex symmetric operator matrices. In particular, we investigate conditions for 2 * 2 operator matrices to be conjugations or complex symmetric on H+H. Using these results, we provide examples of conjugation matrices and complex symmetric operators. Finally, we apply the main results to block Toeplitz operators and completion problems.
| Original language | English |
|---|---|
| Pages (from-to) | 1198-1216 |
| Number of pages | 19 |
| Journal | Linear and Multilinear Algebra |
| Volume | 67 |
| Issue number | 6 |
| DOIs | |
| State | Published - 3 Jun 2019 |
Bibliographical note
Funding Information:This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [grant number 2016R1D1A1B03931937]. The second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology [grant number 2016R1A2B4007035].
Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- 47B15
- Conjugation matrices
- Primary: 47A05
- Secondary: 47B35
- block Toeplitz operators
- complex symmetric operator matrices