@article {
author = {Yazdanpanah, T. and Mozzami Zadeh, I.},
title = {Sigma-weak amenability of Banach algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {66-73},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.28},
abstract = {Let A be a Banach algebra, be continuous homomorphism on A with (A) = A. The boundedlinear map D : A ! A is derivation, ifD(ab) = D(a) (b) + (a) D(b) (a; b 2 A):We say that A is -weakly amenable, when for each bounded derivation D : A ! A, there existsa 2 A such that D(a) = (a) a a (a). For a commutative Banach algebra A, we showA is weakly amenable if and only if every derivation from A into a symmetric BanachAbimodule X is zero. Also, we show that a commutative Banach algebra A is weakly amenableif and only if A# is #weakly amenable, where #(a + ) = (a) + .},
keywords = {Banach algebra,-derivation,weak amenability},
url = {https://ijnaa.semnan.ac.ir/article_28.html},
eprint = {https://ijnaa.semnan.ac.ir/article_28_0ec73acaf4acf95cbff958392ec4552b.pdf}
}