Let $A$ be a Banach algebra and $X$ be an arbitrary Banach $A$-module. In this paper, we study the second transpose of derivations with value in dual Banach $A$-module $X^{*}.$ Indeed, for a continuous derivation $D:A\longrightarrow X^{*}$ we obtain a necessary and sufficient condition such that the bounded linear map $\Lambda\circ D^{\prime\prime}:A^{**}\longrightarrow X^{***}$ to be a derivation, where $\Lambda$ is composition of restriction and canonical injection maps. This characterization generalizes some well known results in [2].
Essmaili,M . (2019). Some results on second transpose of a dual valued derivation. International Journal of Nonlinear Analysis and Applications, 10(2), 267-273. doi: 10.22075/ijnaa.2019.4195
MLA
Essmaili,M . "Some results on second transpose of a dual valued derivation", International Journal of Nonlinear Analysis and Applications, 10, 2, 2019, 267-273. doi: 10.22075/ijnaa.2019.4195
HARVARD
Essmaili M. (2019). 'Some results on second transpose of a dual valued derivation', International Journal of Nonlinear Analysis and Applications, 10(2), pp. 267-273. doi: 10.22075/ijnaa.2019.4195
CHICAGO
M Essmaili, "Some results on second transpose of a dual valued derivation," International Journal of Nonlinear Analysis and Applications, 10 2 (2019): 267-273, doi: 10.22075/ijnaa.2019.4195
VANCOUVER
Essmaili M. Some results on second transpose of a dual valued derivation. IJNAA. 2019;10(2):267-273. doi: 10.22075/ijnaa.2019.4195
International Journal of Nonlinear Analysis and Applications