Additive operators preserving rank-additivity on symmetry matrix spaces

We characterize the additive operators preserving rank-additivity on symmetry matrix spaces. LetSn(F) be the space of alln×n symmetry matrices over a fieldF with 2,3 ∈F*, thenT is an additive injective operator preserving rank-additivity onSn(F) if and only if there exists an invertible matrixU∈Mn(F...

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Veröffentlicht in:	Journal of applied mathematics & computing 2004-03, Vol.14 (1-2), p.115-122
Hauptverfasser:	Tang, Xiao-Min, Cao, Chong-Guang
Format:	Artikel
Sprache:	eng
Schlagworte:	Additives Applied mathematics Homomorphisms Mathematical analysis Mathematical models Matrices Matrices (mathematics) Operators Operators (mathematics) Preserving Symmetry
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