张芳娟, 师东河, 王立红. 因子von Neumann代数上的非线性保多重新积[J]. 云南大学学报(自然科学版), 2017, 39(5): 733-738. doi: 10.7540/j.ynu.20170113
引用本文: 张芳娟, 师东河, 王立红. 因子von Neumann代数上的非线性保多重新积[J]. 云南大学学报(自然科学版), 2017, 39(5): 733-738. doi: 10.7540/j.ynu.20170113
shu
ZHANG Fang-juan, SHI Dong-he, WANG Li-hong. Nonlinear mappings preserving multiple new product on factor von Neumann[J]. Journal of Yunnan University: Natural Sciences Edition, 2017, 39(5): 733-738. DOI: 10.7540/j.ynu.20170113
Citation: ZHANG Fang-juan, SHI Dong-he, WANG Li-hong. Nonlinear mappings preserving multiple new product on factor von Neumann[J]. Journal of Yunnan University: Natural Sciences Edition, 2017, 39(5): 733-738. DOI: 10.7540/j.ynu.20170113
shu

因子von Neumann代数上的非线性保多重新积

Nonlinear mappings preserving multiple new product on factor von Neumann

    摘要
  • 摘要: 设A,B是因子von Neumann代数且pn(A1,A2,…,An)为多重新积,则非线性双射ϕ:A→B满足ϕ(pn(A1,A2,…,An))=pn(ϕ(A1),ϕ(A2),…,ϕ(An))当且仅当ϕ是*-环同构.

     

    Abstract: Let A,B be two factor von Neumann algebras and pn(A1,A2,…,An) be the multiple new product.Then a nonlinear bijective mapping ϕ :A→Bsatisfies ϕ(pn(A1,A2,…,An))=pn(ϕ(A1),ϕ(A2),…,ϕ(An)) if and only if ϕ is a*-isomorphism.

     

    • HTML全文
    • 参考文献(14)
    • 相关文章
    • 施引文献
  • 资源附件(0)

/

返回文章
返回