Article ID Journal Published Year Pages File Type
4602407 Linear Algebra and its Applications 2008 20 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory