Publicação
On the geometry of numerical ranges in spaces with an indefinite inner product
| Resumo: | 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. |
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| Autores principais: | Bebiano, N. |
| Outros Autores: | Lemos, R.; Da Providência, J.; Soares, G. |
| Assunto: | Generalized Levinger curve Indefinite inner product Numerical range |
| Ano: | 2005 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| Resumo: | 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. |
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