|
|||||
|
|
Hyponormal and strongly hyponormal matrices in inner product spaces |
|
| Authors: | Mark-Alexander Henn |
| Affiliation: | a Physikalisch-Technische Bundesanstalt, Abbestr. 2-12, D-10587 Berlin, Germany b Institute of Mathematics, MA 4-5, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin, Germany c Department of Mathematics, Technische Universität Ilmenau, Postfach 100565, D-98648 Ilmenau, Germany |
| Abstract: | Complex matrices that are structured with respect to a possibly degenerate indefinite inner product are studied. Based on earlier works on normal matrices, the notions of hyponormal and strongly hyponormal matrices are introduced. A full characterization of such matrices is given and it is shown how those matrices are related to different concepts of normal matrices in degenerate inner product spaces. Finally, the existence of invariant semidefinite subspaces for strongly hyponormal matrices is discussed. |
| Keywords: | Primary: 15A57 Secondary: 15A63 |
| 本文献已被 ScienceDirect 等数据库收录！ | |