Title of article
The J-numerical range of a J-Hermitian matrix and related inequalities Original Research Article
Author/Authors
Hiroshi Nakazato، نويسنده , , Nat?lia Bebiano، نويسنده , , Jo?o da Providência، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
20
From page
2995
To page
3014
Abstract
Recently, indefinite versions of classical inequalities of Schur, Ky Fan and Rayleigh–Ritz on Hermitian matrices have been obtained for J-Hermitian matrices that are J-unitarily diagonalizable, J=Ircircled plus(-Is),r,s>0. The inequalities were obtained in the context of the theory of numerical ranges of operators on indefinite inner product spaces. In this paper, the subject is revisited, relaxing the constraint of the matrices being J-unitarily diagonalizable.
Keywords
J-numerical range , J-Hermitian matrix , Krein space
Journal title
Linear Algebra and its Applications
Serial Year
2008
Journal title
Linear Algebra and its Applications
Record number
825975
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