Algebra and Combinatorics

 

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Author(s)
Hiroshi Nakazato; João da Providência; Natalia Bebiano;

Title
The J-numerical range of a J-Hermitian matrix and related inequalities

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 = Ir + (-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.

Preprint series
Pré-publicações do Departamento de Matemática da Universidade de Coimbra

Issue
08-04

Year
2008

 
     
 

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