k-Jordan可乘映射
k-Jordan multiplicative maps
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摘要: 运用算子论的方法研究了自伴算子代数上的3重k-Jordan映射和套代数上k-Jordan映射.得到了自伴算子代数上的3重k-Jordan双射为酉同构;套代数上k-Jordan双射为线性同构,或线性反同构.Abstract: Using some methods of operator theory,the triple k-Jordan map on self-adjoint operator algebras and the k-Jordan map on nest algebra are studied.It is shown that a triple k-Jordan bijective map on self-adjoint operator algebras is a unitary isomorphism.A k-Jordan bijective map on nest algebra is a linear isomorphism,or a linear anti-isomorphism.