| Zugriffsnummer | 24967 |
| Dokumenttyp | Zeitschriftenartikel |
| Sprache | Englisch |
| Titel | Hyponormal and strongly hyponormal matrices in inner product spaces |
| Autor(in); Institution |
Henn, Mark-Alexander; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
Mehl, Christian; TU, Institute of Mathematics, Berlin, GERMANY
Trunk, Carsten; TU, Department of Mathematics, Ilmenau, GERMANY
|
| Quelle/Jahr | Linear Algebra and its Applications: 433 (2010), 6, 1055 - 1076 |
| ISSN | 0024-3795 |
| DOI | |
| URL | |
| Verlag | New York, NY: Elsevier |
| Freie Schlagworte | Degenerate inner product ; Adjoint ; Linear relations ; H-Hyponormal ; Strongly H-hyponormal ; Invariant semidefinite subspace |
| Zusammenfassung | 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. |
