Characterizing Derivations on Von Neumann Algebras by Local Actions
Let ℳ be any von Neumann algebra without central summands of type I1 and P a core-free projection with the central carrier I. For any scalar ξ, it is shown that every additive map L on ℳ satisfies L(AB-ξBA)=L(A)B-ξBL(A)+AL(B)-ξL(B)A whenever AB=P if and only if (1) ξ=1, L=φ+h, where φ is an additive...
| Главные авторы: | , |
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| Формат: | Статья |
| Язык: | English |
| Опубликовано: |
Hindawi Limited
2013-01-01
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| Серии: | Journal of Function Spaces and Applications |
| Online-ссылка: | http://dx.doi.org/10.1155/2013/407427 |