张芳娟. k-Jordan可乘映射[J]. 云南大学学报(自然科学版), 2013, 35(4): 447-452. doi: 10.7540/j.ynu.20120277
引用本文: 张芳娟. k-Jordan可乘映射[J]. 云南大学学报(自然科学版), 2013, 35(4): 447-452. doi: 10.7540/j.ynu.20120277
ZHANG Fang-juan. k-Jordan multiplicative maps[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(4): 447-452. DOI: 10.7540/j.ynu.20120277
Citation: ZHANG Fang-juan. k-Jordan multiplicative maps[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(4): 447-452. DOI: 10.7540/j.ynu.20120277

k-Jordan可乘映射

k-Jordan multiplicative maps

  • 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.

     

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