套代数上的Jordan同态

Jordan Homomorphisms in Nest Algebras

给出套代数上满Jordan同态为同态或反同态的一个充分条件,并证明有限维套代数之间的满Jordan同态必为同态或反同态.

The author gave a sufficient condition for a surjective Jordan homomorphisms to be a homomorphisms or an anti-homomorphisms in the nest algebra,and proved that every surjective Jordan homomorphism between finite dimensional nest algebras must be a homomorphism or an anti-homomorphism.