论冯-诺依曼代数的 2 局部派生
IF 0.9
4区 数学
Q2 MATHEMATICS
引用次数: 0
摘要
设 A 是一个半有限因子冯-诺依曼代数。我们证明，如果一个映射 δ:A→A 满足对任意 A,B∈A 有一个线性导数 δA,B:A→A 令 δ(A)B+Aδ(B)=δA,B(AB), 那么 δ 是一个线性...本文章由计算机程序翻译，如有差异，请以英文原文为准。
On 2-local derivations of von Neumann algebras
Let A be a semi-finite factor von Neumann algebra. We prove that if a map δ:A→A satisfies that for any A,B∈A there is a linear derivation δA,B:A→A such that δ(A)B+Aδ(B)=δA,B(AB), then δ is a linear...
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来源期刊
CiteScore
2.70
自引率
18.20%
发文量
175
审稿时长
4-8 weeks
期刊介绍：
Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to:
spaces over fields or rings
tensor algebras
nonnegative matrices
inequalities in linear algebra
combinatorial matrix theory
numerical linear algebra
representation theory
Lie theory
invariant theory and
operator theory
The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.
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