For a Banach algebra $A$, $A''$ is $(-1)$-Weakly amenable if $A'$ is a Banach $A''$-bimodule and $H^1(A'',A')=\{0\}$. In this paper, among other things, we study the relationships between the $(-1)$-Weakly amenability of $A''$ and the weak amenability of $A''$ or $A$. Moreover, we show that the second dual of every $C^\ast$-algebra is $(-1)$-Weakly amenable.
Valadkhani,A and Hosseinioun,S . (2016). Weak and $(-1)$-weak amenability of second dual of Banach algebras. International Journal of Nonlinear Analysis and Applications, 7(2), 39-48. doi: 10.22075/ijnaa.2016.457
MLA
Valadkhani,A , and Hosseinioun,S . "Weak and $(-1)$-weak amenability of second dual of Banach algebras", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 39-48. doi: 10.22075/ijnaa.2016.457
HARVARD
Valadkhani A, Hosseinioun S. (2016). 'Weak and $(-1)$-weak amenability of second dual of Banach algebras', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 39-48. doi: 10.22075/ijnaa.2016.457
CHICAGO
A Valadkhani and S Hosseinioun, "Weak and $(-1)$-weak amenability of second dual of Banach algebras," International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 39-48, doi: 10.22075/ijnaa.2016.457
VANCOUVER
Valadkhani A, Hosseinioun S. Weak and $(-1)$-weak amenability of second dual of Banach algebras. IJNAA. 2016;7(2):39-48. doi: 10.22075/ijnaa.2016.457
International Journal of Nonlinear Analysis and Applications