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http://hdl.handle.net/10773/6586| Title: | On the geometry of numerical ranges in spaces with an indefinite inner product |
| Author: | Bebiano, N. Lemos, R. Da Providência, J. Soares, G. |
| Keywords: | Generalized Levinger curve Indefinite inner product Numerical range |
| Issue Date: | 2005 |
| Publisher: | Elsevier |
| Abstract: | Geometric properties of the numerical ranges of operators on an indefinite inner product space are investigated. In particular, classes of matrices are presented such that the boundary generating curves of the J-numerical range are hyperbolical. The curvature of the J-numerical range at a boundary point is studied, generalizing results of Fiedler on the classical numerical range. © 2004 Elsevier Inc. All rights reserved. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/6586 |
| DOI: | 10.1016/j.laa.2004.04.021, |
| ISSN: | 0024-3795 |
| Appears in Collections: | DMat - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| geometry of NR indef LAA 2005.pdf | 276.76 kB | Adobe PDF |  |
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