Adjacency preserving mappings on real symmetric matrices

Details Adjacency preserving mappings on real symmetric matrices Adjacency preserving mappings on real symmetric matrices

2007-11-15

arxiv.org/abs/0711.2413v1

Mathematics

Rings and Algebras

Latex, 20 pages

Scientific paper

Let $S_{n}$ 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.

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