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Mathematical Modelling and Data Analysis

Department 8.4

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Title: Hyponormal and strongly hyponormal matrices in inner product spaces
Author(s): M.-A. Henn, C. Mehl and C. Trunk
Journal: Linear Algebra and its Applications
Year: 2010
Volume: 433
Issue: 6
Pages: 1055--1076
DOI: 10.1016/j.laa.2010.04.050
ISSN: 00243795
Web URL: http://www.sciencedirect.com/science/article/pii/S0024379510002880
Keywords: Adjoint,Degenerate inner product,H-Hyponormal,Invariant semidefinite subspace,Linear relations,Primary: 15A57,Secondary: 15A63,Strongly H-hyponormal
Tags: 8.41,
Abstract: Complex matrices that are structured with respect to a possibly degenerate indefinite inner product are studied. Based on earlier works on normal matrices, the notions of hyponormal and strongly hyponormal matrices are introduced. A full characterization of such matrices is given and it is shown how those matrices are related to different concepts of normal matrices in degenerate inner product spaces. Finally, the existence of invariant semidefinite subspaces for strongly hyponormal matrices is discussed.

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