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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/407427 |