Adjacency preserving mappings on real symmetric matrices

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dc.creatorLegiša, Peter
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:07Z
dc.date.available2026-07-07T08:43:07Z
dc.descriptionLet $S_{n}$ denote the space of all $n \times n$ real symmetric matrices. For n=2 or n>2 we characterize maps F from $S_{n}$ to $S_{m}$ which preserve adjacency, i.e. if rank(A-B)=1, then rank(F(A)-F(B))=1.
dc.descriptionLatex, 20 pages
dc.identifierhttps://arxiv.org/abs/0711.2413
dc.identifierhttp://arxiv.org/abs/0711.2413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142202
dc.subjectRings and Algebras
dc.subjectMetric Geometry
dc.subject15A03, 15A04, 15A30, 15A57, 16S50, 16W10, 17A15, 17C55
dc.titleAdjacency preserving mappings on real symmetric matrices
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