Let A be a Banach algebra, E be a Banach A-bimodule and Δ E → A be a bounded Banach A-bimodule homomorphism. It is shown that under some mild conditions, the weakΔ''-amenability of E'' (as an A''-bimodule) necessitates weak Δ-amenability of E (as an A-bimodule). Some examples of weak-amenable Banach modules are provided as well.
@article{bwmeta1.element.doi-10_1515_math-2015-0063,
author = {Fatemeh Anousheh and Davood Ebrahimi Bagha and Abasalt Bodaghi},
title = {Weak amenability for the second dual of Banach modules},
journal = {Open Mathematics},
volume = {13},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0063}
}
Fatemeh Anousheh; Davood Ebrahimi Bagha; Abasalt Bodaghi. Weak amenability for the second dual of Banach modules. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0063/
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