On indecomposable normal matrices in spaces with indefinite scalar product

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dc.creatorHoltz, Olga
dc.date2005-12-27
dc.date.accessioned2026-07-07T06:55:47Z
dc.date.available2026-07-07T06:55:47Z
dc.descriptionFinite dimensional linear spaces (both complex and real) with indefinite scalar product [.,.] are considered. Upper and lower bounds are given for the size of an indecomposable matrix that is normal with respect to this scalar product in terms of specific functions of v = min{v-, v+}, where v-, (v+) is the number of negative (positive) squares of the form [x,x]. All the bounds except for one are proved to be strict.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0512585
dc.identifierhttp://arxiv.org/abs/math/0512585
dc.identifierLinear Algebra and its Applications, 259 (1997), 155-168
dc.identifierdoi:10.1016/S0024-3795(96)00247-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106395
dc.subjectFunctional Analysis
dc.subjectRings and Algebras
dc.subject47B50, 46C20, 47B15, 47B40
dc.titleOn indecomposable normal matrices in spaces with indefinite scalar product
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