000K  utf8
0100  601727614
1100  2009$c2009-04-29
1500  eng
3000  Henn, Mark-Alexander
3010  Mehl, Christian
3010  Trunk, Carsten
4000  Hyponormal and strongly hyponormal matrices in inner product spaces  [Henn, Mark-Alexander]
4209  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.
4961  http://uri.gbv.de/document/gvk:ppn:601727614
5051  510
5550  adjoint
5550  Degenerate inner product
5550  H-hyponormal
5550  invariant semidefinite subspace
5550  linear relations
5550  strongly H-hyponormal