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 Ο(A) + ΞΎ(A), where Ο : M β N is an additive isomorphism or the negative of an additive anti-isomorphism and ΞΎ : M β CI is a map wi
Maps preserving product on factor von Neumann algebras
β Scribed by Jianlian Cui; Chi-Kwong Li
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 172 KB
- Volume
- 431
- Category
- Article
- ISSN
- 0024-3795
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