M. Momeni - Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran. T. Yazdanpanah - Department of Mathematics, Persian Gulf University, Bushehr 75169, Iran. M. R. Mardanbeigi - Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran.
Let \(A\) be a Banach algebra and let \(I\) be a closed two-sided ideal in \(A\). \(A\) is \(I\)-weakly amenable if \(H^1(A,I^*) = \{0\}\). Further, \(A\) is ideally amenable if \(A\) is \(I\)-weakly amenable for every closed two-sided ideal \(I\) in \(A\). In this paper we introduce \(\sigma\)-ideal amenability for a Banach algebra \(A\), where \(\sigma\) is an idempotent bounded endomorphism of \(A\).
M. Momeni, T. Yazdanpanah, M. R. Mardanbeigi, Sigma Ideal Amenability of Banach Algebras, Journal of Mathematics and Computer Science, 8 (2014), no. 3, 319-325
Momeni M., Yazdanpanah T., Mardanbeigi M. R., Sigma Ideal Amenability of Banach Algebras. J Math Comput SCI-JM. (2014); 8(3):319-325
Momeni, M., Yazdanpanah, T., Mardanbeigi, M. R.. "Sigma Ideal Amenability of Banach Algebras." Journal of Mathematics and Computer Science, 8, no. 3 (2014): 319-325
