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 On the geometry of numerical ranges in spaces with an indefinite inner product
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6586

title: On the geometry of numerical ranges in spaces with an indefinite inner product
authors: 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.
URI: http://hdl.handle.net/10773/6586
ISSN: 0024-3795
publisher version/DOI: http://dx.doi.org/10.1016/j.laa.2004.04.021,
source: Linear Algebra and Its Applications
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