Constructions preserving \(n\)-weak amenability of Banach algebras. (English) Zbl 1212.46067

Summary: A surjective bounded homomorphism fails to preserve \(n\)-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.


46H20 Structure, classification of topological algebras
46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
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