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Linear maps preserving zero products on nest subalgebras of von Neumann algebras

✍ Scribed by Jian-Hua Zhang; An-Li Yang; Fang-Fang Pan


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
144 KB
Volume
412
Category
Article
ISSN
0024-3795

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Nonlinear maps preserving Lie products o
✍ Jian-Hua Zhang; Fang-Juan Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 149 KB

In this paper, we prove that every bijective map preserving Lie products from a factor von Neumann algebra M into another factor von Neumann algebra N is of the form A β†’ ψ(A) + ΞΎ(A), where ψ : M β†’ N is an additive isomorphism or the negative of an additive anti-isomorphism and ΞΎ : M β†’ CI is a map wi