Adjacency preserving mappings on real symmetric matrices

Mathematical Communications

Legiša, Peter¹ 

[1] Department of Mathematics, FMF, University of Ljubljana, Ljubljana, Slovenia

关键词: real symmetric matrix;    adjacency preserving map;    rank;    geometry of matrices;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

Let$S_{n}$denotethespaceofall$n\timesn$realsymmetricmatrices.Let$n\geq2$andlet$\Phi:S_{n}\raS_{m}$beamappreservingadjacency,i.e.if$A,B\inS_{n}$and$\hbox{rank}~(A-B)=1$,then$\hbox{rank}~(\Phi(A)-\Phi(B))=1$....

【 授权许可】

Unknown