SOME CHARECTERIZATIONS OF AUTOMORPHISMS OF THEREE-DIMENSIONAL SPIN FACTOR

In the present paper, we investigate 2-local linear operators on vector spaces. Su_cient conditions are obtained for the linearity of a 2-local linear operator on a _nite-dimensional vector space. Based on these results we describe 2-local derivations and automorphisms on low-dimension Jordan algebras. Also, we develop methods of construction of 2-local linear opera-tors which are not linear operators. Applying these methods we investigate low- dimension automorphism of theree dimensional spin factor.