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Adjacency preserving mappings on real symmetric matrices

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Publication:2897921
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zbMath1262.15033arXiv0711.2413MaRDI QIDQ2897921

Peter Legiša

Publication date: 16 July 2012

Full work available at URL: https://arxiv.org/abs/0711.2413


zbMATH Keywords

rankadjacency preserving mapgeometry of matricesreal symmetric matrix


Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86)


Related Items (5)

Adjacency preservers on invertible Hermitian matrices. I. ⋮ Adjacency preservers, symmetric matrices, and cores ⋮ Coherence invariant maps on order-3 symmetric tensors ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices ⋮ Preservers of partial orders on the set of all variance-covariance matrices




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