ON THE GEOMETRY OF NUMERICAL RANGES IN SPACES WITH AN INDEFINITE INNER PRODUCT

@inproceedings{Bebiano2004ONTG,
  title={ON THE GEOMETRY OF NUMERICAL RANGES IN SPACES WITH AN INDEFINITE INNER PRODUCT},
  author={Nat{\'a}lia Bebiano and Rute Lemos and Jo{\~a}o da Provid{\^e}ncia and Graça Soares},
  year={2004}
}
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. 

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