×

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.

MSC:

46H20 Structure, classification of topological algebras
46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
PDFBibTeX XMLCite
Full Text: arXiv EuDML