- 期刊
DERIVATIONS OF CERTAIN OPERATOR ALGEBRAS
摘要
Let N be a nest and let A be a subalgebra of L(H) containing all rank one operators of algN. We give several conditions under which any derivation δ from A into L(H) must be inner. The conditions include (1) H_ ≠ H, (2) 0+ ≠ 0, (3) there is a nontrivial projection in N which is in A, and (4) δ is norm continuous. We also give some applications.
延伸閱讀
- Alshehri, N. O. (2010). Derivations of MV-Algebras. International Journal of Mathematics and Mathematical Sciences, 2010(), 289-295. https://doi.org/10.1155/2010/312027
- Muhiuddin, G., & Roqi, A. M. A. (2012). On (α,β)-Derivations in BCI-Algebras. Discrete Dynamics in Nature and Society, 2012(), 1252-1262-087. https://doi.org/10.1155/2012/403209
- ZHAN, J., & LIU, Y. L. (2005). ON f-DERIVATIONS OF BCI-ALGEBRAS. International Journal of Mathematics and Mathematical Sciences, 2005(), 1675-1684-131. https://doi.org/10.1155/IJMMS.2005.1675
- STEINIGER, H. (2004). ON THE BEURLING ALGEBRAS A_α^+ (D)-DERIVATIONS AND EXTENSIONS. International Journal of Mathematics and Mathematical Sciences, 2004(), 1679-1701-125. https://doi.org/10.1155/S0161171204309270
- Gordji, M. E., Khodaei, H., & Kim, G. H. (2012). Nearly Derivations on Banach Algebras. Discrete Dynamics in Nature and Society, 2012(), 127-134-209. https://doi.org/10.1155/2012/864340