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 \cite{aef}.
Essmaili, M. (2018). Some results on second transpose of a dual valued derivation. International Journal of Nonlinear Analysis and Applications, (), -. doi: 10.22075/ijnaa.2018.13930.1726
MLA
Morteza Essmaili. "Some results on second transpose of a dual valued derivation". International Journal of Nonlinear Analysis and Applications, , , 2018, -. doi: 10.22075/ijnaa.2018.13930.1726
HARVARD
Essmaili, M. (2018). 'Some results on second transpose of a dual valued derivation', International Journal of Nonlinear Analysis and Applications, (), pp. -. doi: 10.22075/ijnaa.2018.13930.1726
VANCOUVER
Essmaili, M. Some results on second transpose of a dual valued derivation. International Journal of Nonlinear Analysis and Applications, 2018; (): -. doi: 10.22075/ijnaa.2018.13930.1726
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