Adjacency preserving mappings on real symmetric matrices

Abstract

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.

Latex, 20 pages

Cited by in corpus (1)

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