因子von Neumann代数上的非线性混合ξ-Jordan三重可导映射

宁彤, 张建华

数学学报 ›› 2020, Vol. 63 ›› Issue (4) : 319-328.

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PDF(334 KB)
数学学报 ›› 2020, Vol. 63 ›› Issue (4) : 319-328. DOI: 10.12386/A2020sxxb0027
论文

因子von Neumann代数上的非线性混合ξ-Jordan三重可导映射

    宁彤, 张建华
作者信息 +

Nonlinear Mixed ξ-Jordan Triple Derivable Maps on Factor von Neumann Algebras

    Tong NING, Jian Hua ZHANG
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摘要

A是一个的因子von Neumann代数.我们证明了每一个非线性混合ξ-Jordan(ξ≠0,-1)三重可导映射φAA都是可加的*-导子,且对任意的AA,有φξA)=ξφA).

Abstract

Let A be a factor von Neumann algebra. We prove that each nonlinear mixed ξ-Jordan triple derivable map φ:AA is an additive *-derivation and φ(ξA)=ξφ(A) for all AA with ξ≠ 0, -1

关键词

因子von Neumann代数 / 混合&xi / -Jordan三重可导映射 / *-导子

Key words

factor von Neumann algebra / mixed ξ-Jordan triple derivable map / *-derivation

引用本文

导出引用
宁彤, 张建华. 因子von Neumann代数上的非线性混合ξ-Jordan三重可导映射. 数学学报, 2020, 63(4): 319-328 https://doi.org/10.12386/A2020sxxb0027
Tong NING, Jian Hua ZHANG. Nonlinear Mixed ξ-Jordan Triple Derivable Maps on Factor von Neumann Algebras. Acta Mathematica Sinica, Chinese Series, 2020, 63(4): 319-328 https://doi.org/10.12386/A2020sxxb0027

参考文献

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基金

国家自然科学基金资助项目(11471199)

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